Webb confirma a precisão da taxa de expansão do universo e aprofunda o mistério da tensão constante do Hubble
A taxa de expansão do universo, conhecida como constante de Hubble, é um dos parâmetros fundamentais para a compreensão da evolução e do destino final do cosmos. No entanto, uma diferença persistente chamada 'Tensão de Hubble' é observada
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MbRPt9ze6sfAQ87WxMbpOZUjImNvbfCYzKyD3t7Xy+6hvw87WxMbulPu/8AtATJhY7gORw87WxMbXjUbE6wPwo+Wh52t543Y6Y0zvxipKolkPO1sTG6xYOKIa/hhfJ7nsNJUftruZXIedreeN2X/jOl1e6pJikD8VFLu+N6Hna3njbPl6ZDdHk30wTKo7Bt7epOJfDztbzxuh4N3MUf6whbd+oO7f7TDztbzxutxdsD2F/y3THfFiYJflgRkLqSVQ87W88br/ku2Os6g4upda6OYMcyVQ87W88bt/jCNf3bOsfhid/LL1EPO1vPG7gfFB1m3uYpONgTikh52t542wTJF3Luj3Pb8mU/bcFhTw87W88bkDkRML7RSO+HxIksPO1vPG6BGY2gmbAqeQqIedreeNsLH03t6YAb8kfTdsY2iYmNQ8XMSmHna3njdAy7Ym4vAW+p90lQ/wC2d9+Rh52t543Y+bQPl9SHwIoIedreeN0PvYZ38Z7P8lDzu/8A/8QAKRAAAgICAgIBBAMBAQEBAAAAAAERITFBEGFRcfAgQIGRMKGxwdHh8f/aAAgBAQABPyH+b4nTjBPU+PpRH8c8N6EvX0wsoWR6rwH0Od8w0phw9/Uv4UsnvheR8QUaIZG0Qj/DZs/QM/RUc/M7fe/M6cTJT9ZlHj+JcbP8IqeGJxZC+HLw4mB2g06cLN8MZNZQsMTNoUuK/h0Qh3aIXuYP9HkyQeY40adD/PDwa4wkoVs3zB8jt978ToQjIRtD/iSr6o5RJqJURxQ8QaLgxzoQ/ommLN/R65jvheSBm34DjDbSkv8AkQlm1kWyL2d8uogopSUjUTK4whOB549kcwfA7fe/M6DOyoY0v6lf0RznnXGSOXxktkJuSzfCVc9/QyPpyxpShyiCiaGUKmCmpE25WHs051+inKKtIcH98axw8E+SGWBIqWs3szZlTIsRob+v5Hb734nT+BDia40JkVy0qhjHUVw4mq+h1yA2yXniPoUbZf6+h/Rr6XJEnUKTvsZR3BJElwKZjJjr9IhS4RCI8CfwE1BoqF/ZFj7H0ZIGoY/r+R2+9+Z0/jXKzzA3K4jmDY7EEt5II5iWKjFjGaJR5Fbz9DZK1nH0QyVEqEPA4wy8zicF1UKI2kNEkOVQsZLJpwMmiebrieIr6L4ZlkRfxL734nT+DJ4eOc8wSJ/RuSqEaPZ640ZIooxyhv0TK+nXDUSZtLHGqIFLVEIiLZRmo6HkQrkah/8ATaMh5diHzUE8fniDpZH6G8EQhZP1xHDS/wCLfe/E6fXsUefrSbdI9/TQ4RzrjdH4FbNNPmK4fCz9SRBqhFDImNasasbJlULNmSDfDv6dnSEx4I8miNowNRtaLRnj4Xb734nQqO/ogyH9CQ4yXjhKSCaVGhOG4HfDzxfC/od2hEgZKLK4c7IryYxyr6I+hIcJp+hDUFkVE4Fra354nyb48GMCdcMw75ZGT/Aq8OTYh2VDhJPyLwbG4YwjNLhMcXz87t978ToOKtyuDygpQVtgjfDdIgxsVOyM5R3xnwuJW19DlJCnyQ1XFLy9QOXbGYNjGlny+V3ySF2iKNibN3gULQ5/IYzsSl0QTY19TEMrwYE2RcymZgR44juhWn/SFafa4ij53b734nTlcQQ4G7iEWs8KbFU+PRj2QISnPEPKQxpRkRKXW4R+BpJ5lEvAo2eLEOzDoMcT9Gjrm+E0dCM3pDfh+jZ46H5bOi3NGyyxXCgYw00RQk5hLmC+O3xnZfGUybhOXcija4TlKQquJXj6fndvvfidOKEioGyONOowJ8eRUf8ArsgcJUb0WjYy19GGR54VaGWYLFVwO7Z6HxukPJ6ITSgg2eDxAuyLFmqTkWRZg0eH/Bdio3JnZejc7M742KnfFnviKMjvxRaTEzdk6lEeBmmF1kdIiesDyNlcfO7fe/E6cIk14ITqS1wn+BO02/ARWmrlfR6NDMbHYqwJTEGGnkmGO7fG+Fsi/ZDRMiHECjVixnA9Go4iexKjYib9+SZe0ZEuuWUEJojBFkj+yV+xVogSGu5PZGHoiEJL/wCDCxwIUZcrQvO0z2mBX4DLa4/ZpiM9jDEj4svvfidPoTikZszwlrQtQVd8/viGvY1AiSyV6LNc6I8Ec9IcwKC7nIzWRRA+EvLg3xFcR42NQQsSlejIel/wj0JEy48GTyR+ByohxognhK8EZ4g2GOc4JLJFDiwUJcHROqIudEShm2zbvPt978zpxH7Gnjd/Vi+HxTbii6InHDqpGqVyhCpri/B/+AqzVUfkyRyiMcRQkolhXgjyNMQqEdiVEzKMrQxsDSU6HnEjST2W7Zux8uNFWyRTODQleJG79+B1THw+9noWJkbnJmhxQ3ColeSGT/R8Lt978zpw4dpCNlF0NWaNFG+K8C4XkSrJ3k1DJm3wp1sRElQx+CtLOo4brAslc4GjKg/BBTIlZsVhNjwI9iWtCRCDnEiecPJLRghFMpL0h366JbQ2ftgRamBS6GisNjXVDCvyNcEcMbyf0Z6z5LZNTApKzzZ20Nk6OwRTm4Nnwu33vzOhijxlkryCaImhtvOhKU+uOhswQfQ81xiT/SVJpm/HKEuDXVc5cFqh4F0JZ4/BMMet6EqkQRVrJFDAmhjE2iJZYChTI58MWR+x1GSjI9lJQ6RUTZtkwhMVWHpKDXlnlckidhplSN2TWfowLNiibwN+BvfZPmz53b735nQXrhHRrJsjJvPDMlhHBIG0SL8iE5VMWhcKjLIEyRuzKPRI6G5cmaKjsU9keTIsRsSrghzQjPLREJ3gTdWCKt2Qv/RJLcSdo9GN1AycIkZmolLfRWEMiPCCots9jZLlxRtMTMyd9E4JUQMknykPJktcf9GS5oXZSwRs0fO7fe/I6HnL9jp8LhcNrxBmRDfMd0tECW7gk/AmZlFTMsb87PZQsQxeWNFowtbeB7HQicDVcopMo9ikRfHkJWyENORKVQ1ZcDnMmaJE5YCtqKcjwabMOjtDZKk3YjRIbksmnORTCbVCcPH4Ym0ZcxQ1xHMOJ4TQ9cUWfO7fe/I6GCXCXMmdEilPXCp2OXgwT9oFKj0Nyui4IowzDN0x+y7X6P6KbbkhiV7ETRJIEoXCU5wINChqiGL/APRCIo/JjfsQcP2R+o3Mx/Y6QS3+CYJJx7IxP6MmoGpZc5Jfkk9CpQydsnlEl+Rt7PYxpWlzxhdjGNUdGgnFJ0R5LQj53b735nT6Hx44VdlTCNYGhyh8mo9CTbmTLskosnSEJsX5MiJc+R28ilmSKs0Tw88LGvB1BgTPCJLOCY7EYwSSHMLjXsURiWVJCujyDd0K3DGrxw1xMicMhbf6F0aPYoyVGuIaEaGyzxXsQqgY0k26xxakIVGQyz43b735nT+CLosWBWxsvC2TzFJmh+PAoi8iUibE4crjCLabgbrBNmhlzwlPQRexRB/5B/RmBDwo7F2WyCCKIy0Rsryy8ORLbQ1JaIG6uR5uMkXAlaGrhGHnBool0YEKmlAsf8M/ojI5NAUKjcik8mKEyG3Hzu33vzOnCI4aazym9TBsX5D2sTcZFVtId3/XHho1xhZlyyJUwQ0h/sbHo0WJMkTSQrEmBIVKyzojyjQk4bUeRI3N+9DRfryJvApFBPko2xiKPwOVmOBL5oRKkyR7J08ChTN9sg24NCH0hirydEvI0oIlSz8nZDdbYjVPPPzu33vzOgv4KFwrTJbX+CA46N4hC7wI3oUxFEV6GvZuiEtFHrhCwaifJGOMAHmUSKs8QcSjBN3AreDYt/8ABxOMEV4Iv2MsKDsNUNppjU64WfkZgSkTDSUGCjyIJOgI3J67Gycr+hq0P/BjM8Yai/Zl0fO7fe/M6cNNGuUzZNcQ5ETxPRDyJvomjSlm5iCHmhGEhZG1lgPwPwjAy9jLQkEmFgSLRUQ2X54ScWWI8iViCi05IuhhNozb2QPYyiO0RPgSn2DJEt/gK07FSiBymBhKHke0saJJOIJ4cqSNrAqUi1Ul5Gn/AAOlDFvyJdWNi4PPGNj8zx8Lt978jpwqwxleUcIlxGvoW/B7GTSwIDqj9iEvIl4NKR5mCG9Qh5zo1gyq0RQlBPg9DKnB6MECgSYIrgSLIyFp4JUuCZJskQ3JJIyjYhCocHZMqUOWSBmlwcJyTVjxv0JrFCOLWTKockvQnZpN5O+hN3GnkdoeaGjDL8jdRx87t978jpzH0dRx5FpZBnRJQIspQvZYxFQMf/BLzQlqVoSW6GXAc1EtjSjsa3OTXZBoocuv9PQjoRP3xSQFThhIezCgY3YnFsj+eCcvivA2WwiPIwnDlzIrI4HacrWEN5XnndZNmXBghK9Eh6H/AOjNoxl+/qyfA7fe/I6Cg0JlfniCo4kUmNDyHO0LxticDszjwVpRR6aG/wBMy4gbl1XC8jSTk0pFWRTbs6EJeSEragSqJliXsV7IGm34EghBJLJ7JJgXkKydCagnYpWZWTI43Y+oIznBCZWBjxk0JSeimUU7LDtkrI50T6pH648rP0fA7fe/A6c7vn1wjcaJqCWmaTleiBdkmhXNJkLI1RLFjUlQZSo7E36SEsuU/wBlnguVLkRBDxZGiIGywkdUuHjlJq/PBEw6MrItCn7ITFMraxopNwzz0P8AZ5MPEjrLFlRI6EjR2WcoeCaKOAyckejZKgifD8cfA7fe/A6cpcriXwiDawG0STihcM4ClJ2s4JXLQcqmuSSMoqFPN2baGpOPAwodRwdncJFEsSUDRmNGHrhimRsWDyJ6JVkmS4oeGiYdHoC/djHCX+jZqzB3w0Cw4kdRUJkOPSGmnDyOPq0fA7fe/A6C+v1wuzyxBMtulI0jIXiKkQo8MY8bEh1x5MisESsocmp6M4TsjZQUTgSkJ4FNwODN8IOnHokkknyTZZjPB3ksHAa0R0K/HERKHtIebGSXD7GoHnnL4nj4Hb734HThJ6NcJk6dxwkIWFYJpie+KpzQhKmRZ4S2JQ/HY8/52OkjVlf/AEyReCxzeDdHobhPxxhyNyNjEHm+CWez0Pj8n5KYmMeEalB7FPKETGljyQpsklJLsbtQSMEKReWUSbITcD1BlV9K7PndvvfgdOMfQuxR5jjRllo1MkCEtiTiRZaRjsjHkpAWJFkn/RDiccKAmvAhCEELhZCsVBL5EvjMcianYxPh5FOSkJsbUESm/wBGzeNDMCbsY/8A09WaFDZDSGt0fIFknTMQ0JJbRSM25GR9Pwu33vzuhc8YCv5fFjS8JDobQnws2ZyLNCuBI9KBLbIkaFYjHG1Q0QQgUrfCofya96NjDDKOHqMTzs8I7cTQtYJoeeJhMRI8wsDpGqFBlloe8UN3BPkm40Jxg/I4IRryLL/mhQ7ghiOUquR+B/V8Dt9787oac54TQ15E5U1fn6GqfAofaMMTliQYf7w03bE4oaICngNXBjED20ZFWTNpHZvA8PyMcrcENA2DQ2Up/gSCzJiTBk7Og6zYh5PwJ3Yn1wnxkbcDxZQ1JbzogWB9EXRHg9ijbJpXkWCY7JgPH1fA7fe/K6GU4PQi2nTGq8DXGuIMDbYryIUzQlCiB6K7ymJ3gX9BUhUHQaeSaTgNJqkRC5UqYwwmJwJicDOaG5Y1ES3khDwyXDU5MiyfKJmEIWLgmaJpE/olqDIbEN5N2Zg2xIbEoNr9EEi6PClE7HTGB8L/AMKQ8WRlxieK+j4Hb734XQTzEQzLcKCb498M6k6m6ExLjYhDLImatsQkVhdsmaVEONCUCVxMItODZu2/JOCTlRWmdcQKCAhMTJokboaVgkqYSPBweeF+dHR0aHSwN9FaJr2WtjchxJc1ysomaeR0lNzgSmG/yVI8NDg1YpMumThJSWS539XwO33v+f8AwSxYQ/yGsMacklj6EJoLfCUaEnRhHQmibQysCyQ9knRCvJoki0NXEcDeeNiVpNMhaFKEIWOWN0IGMt4yI2xMGZHvh4kmbfCQ30RKEOqumZaF7s9DK5toUv8AsMX7EahoTHmaCSU4G8hFEZr6vkdvvfhdC4yKCHhH+jNRyhxHfES5P6EH4Fp/9KMp9CVTIrMmnnsY/RPRD/RpxkvEyNMS4vRPjjQnBQkb7Jl0iwdyPItsT0NkyRy0fjloMgTW8EHXjZLI6Ur8DRhA1qKrZTt0h92OaUN2YuexRRnY3cX5Ek2mJ0P6vmdvvfjdDUf59do9YQbJITJTTWREoJ0Q8ioYWMk2pF2ySZUjtXCP2ReAfCwQVrQkQeWhy9iTaCUOlZG8BsYbX5FcBpUg5eB3kS/Y9i/seH0Mn2aGNvECxES3aGbiK9jmJNcyIWXMmswKGKXSMKuIiVPsuJYNOUm4g64f0fI7fe/G6E6KuvRNjUcbIa1xMUTeTSKJbFN1TSRPBgK1NhoqMibixNeDF/XBRN8T2PxgWg8XUzwIJQJqUElNECNUG0tjsN+hsmp8DYkjKT8DyaE9GLPZijTv0KJyg/ZUTO8MFOdkqE6Q5nGDca6Goye0dESm9CV2SYHmOiB6mBxJs3xG+fkdvvfndCVB+BVYRRRBEUeXJ6QzdcPIhY8sVWWFaaPAlY9ENZJjA1ks643YlfZF2QX4MZE3NChDTHa8kuShKftLIblD7I3JUlPoZ+g5bbGIwSQqcbFD2KlcP/hG0TfsXwX4CiWg7E3C6HwWtJHQmfix0TQqbjfgazpkeOK2kmdszhGBp1H0fM7feomt9f6h1QvIckwh3cGOjRTjh2Ocott+Tcti8kJUKBh4N+BeRzLwyDiYZA4TG40LSFKU4LcKPyNPZDIZTyKF1xNjE+Sc0xztGA85Llif6HciogclSwGhMiaFaPJdHkWHomBOsFuxL8CwQp8jwjwXfm2J/WpGxtMRp2oJFsk8MnUl0M/PE14+r5Hb7353ThD8GPz5IrslxEkxKmnktWByqbktNeuh2UlgqVJ2Lwa+Wf4MFglkTnJQTMJEJcMgoVFOMJHarHAlwdBzFaMvKPUns94IRkbxJ3wyFZNcNMVx6JQ0vyhoMixKRTlDRUeDzJUMcQK1hcb40aE+zZlELK0T9XzO33vwunEVMcL2MZ+BOMcLJod7Ro9noWBinFnYwsr0OHKOV+iUON7JkmDyHDYn0ODrgnslkzokeYG4pZJU0olpyjuBxEDcFFHHgp2SI2SQnUjc25JokmqMuSBUsiNw6G3EO/Q8S6H/AEPxsToeYMDN8Inkak9mhvjfPyO33rk8v/AwzoR0NIO+McY4QpbIbNCyTeSmHkwlIwE8DpQrkoLAYm7JsdC8jnkTG8QoMHsZqS/RQy22PKqP+iufKLFKVownjRNiMKckn4MDEbhVmZ4cSJNq9Dcjfs/EogF4Ht8fnifpeTHPzO33vxugvovPKbj/AOHoZsETwTOZ0JtJuSDzMiNrlMTqJF+iYfkXbMUTDJZTVZJG0UJCbeUSy1BaRH5KDomKVRIxqyBBezahud0L2Inxxhj4U6SW3CQ0oVvIxMnUGg4WHbJ/ZMXxrh8Rxj6MD5+R2+9+B0+ieENCxBMQeB0qY6yXfRXsX4F/Yqbnoad6FvaEp9jpIOX6Omz2MITgbJG9cH2KMDgG4FLxZKAtGXpE9GBzJNiEZ5OVQx+JHiOFdcTMCSbTNoa/KE7QsCcOUOilzuzb9jTfnioNcaNczga4aIIn6PmdvvfgdBcWLsUeXR6Ez0pKBFEla/Jm5MNIhJTkgRWlCODwEik59nlpi24+JKZJ8iPJuCE9mqNiz4PYhGqiz2TKjyNK7/BsvwPsXkxw5hpsZYji8GxuBnob1+RtlCE9CCijMvJDEWwuDdZJMCLMmFxZsdb+mM5U+OHjP0fM7fe/A6c/nifPCa8sidicdkWQdJCWhRt70ho7Ik0bCcGnM5GmCf2YY/JjJZLo6kkmBwYMsUxAju+hKi2yLL1GleTxixxpMo0SJoWGmSyDRpUD5smMdHyDGixUiTXLFvOB9bMQ5G7vI5vMx0z/ADjf8CcP19MJvBCUYPmdvvfgdD8HohrjoX+H4MEbLKG9mEYD92dGbsjHZSJfn8Dbds7PMmNihCrDMCMZLEvZ7HREtzpHeFxFJKp7I6IHTyN3ZBMvyLb0h5Nmzo/Q8kzIneBMldqsGfJoalTvnPR7yYL1w8/Xv6O6R8zt978boVFO/HCEpwuZEXHoxsmNc2vzwmtj/IrZWGYeTpm6IbfjiI9iv2QkaDdg3eBOCZw2/oazRIdk3kaUqPM8ErKfyeBQTgvAohyeiPLGodtiyXouLdDpvJAce4Q9Qhk3RPOfXDzx7/gUb+n5nb735nT6E4tM3gaVRJ/2A5wbe2xm2bGoPKO5WNmhkXzEjrhLPRBErRDDW+EuA1DsTjDF6kd//SdOGN3ChomZhJZAingiCcdiQ0dqnAyyW9EzcEmNKxWKnIiNzoXY/QoQ1rZQhdpFiG66MSib52PMGjYkZSVowaFC/b+PR8zt960fNgVHYvQokwkWhK/BqRPe52xjerkSzkJUPAvCylmSJbSPJHGGKRSytCU5HDcn7CIjwImGIWKPAzcyYtT5N9CvyeBDupOxPY/4J2JI3kh6ETlNw0tkZuNTNjhhKJuNEaTMOHQ1R4HrZLHozd1znjRZv4/m+Z2+9+d0GGNw1jviTYLM4sseAjXmhPsUEotmNvI7/BDMjsOVxBhNGVj6mWsSQc6SRLmoTErSEbMousmn0LxJqxTovPkghbZNoyRW0QYZLSr4N74uJFhm4Ea9+woSTyLEDXZYdKFU5LgbeRvxgbRxPHXK4YTpjobgc/W8/X8zt97G/H/gMX6OzMK3YwTSe29sm1FDgsqZsRs32KbgXqyG7ZH6Nyzspm5yJMRt4R4JDXg7PArwoKKlA6xjzYkSkiVLQkYZeeJETWRpxeh/GxnwXQ/6rsdXFNE+TAouSF2P+iagV5Iapnr6E7G1wEN3ORr/AIaUfS+J2+9+F0HDVcXETRiY4/sx31klWYg04WdE/wAAnIxbHiQvJlAl0f4NejxfG5FYim0Q46F5CLTWDCyKU2EI04TslT7Ev1kaGoTCylk3ZmGhkSdECuKQmmPE5fQydhDXuBKm5GiM/wDou/yx09h288I/PHrhjidE0Sx/VjnQvp+J2+9+d0IE4Z7ZEuEe9EHCYRsS1+YrNaJqw8DZBk29+BLX9ksxyQ0RY+kXNq2Nehg21QrMCaQRNxMaHn4MESyP2Km/RSdzodQj2bGySjuhsurZvwNGtkeWhWHZkei5G4EnGj/9hMyn4G5PbIkbW88+iYHxPD4Rr/f42ySbVP6PidvvfndDGuG+jPCUpvwTGIsWhhJKwMcJCKj7FLNCXTseZVm4pIDBFsxxPEtkiiMmCXdyUlcjdy5okqVeifKfogXOhJSpOxi2omRzh6Hblj/wncD4holMHjV2KOxyuDQzPvwTypYKMiTcwsDhJyrEm3SH/PfLPidvvfhdBrC4fCFKq0aEhOJijMR32bwPZt3JD8ia2JEBEn6yM8lEM7bFX5PweC5XYyL+h51FdBhLE8lox0WZW9klki3UWR58kQ/9PHU9D/tngUlTCBueG0aPIqc/RUC1CMLyTGHBn2RASs/Vr+X4Hb735nQyaaxAptGjPUotRFdl0exUiEWsjRRMp2eB0LEtxJInUjTUllmW2VEr9E+BXgSbdtyKplDZPw6Hu7jsaOlgankb8ECgqch+CU9GSxnKJtNKEmriFlSK0jvFvMaGXmSSeFyieU4Slehybt7L/Ahk/YY5+B2+9+V0GjGcDRQhZdHgVcFaxSyf4NI6Ca8nX6O5MJ8NzEaNf9EKbIWV2x/nAvFhppG/gRpk17JQ7oTaGG4MEQ0tLsdgcVbsnvJgGKIsaGh04rR7EvfEzz7PZ7PQ+JppOVwTIihW/PGP49fThmePidvvfndBOHY24Tga8C8Y/wDRqWP/AIVNTEZGpoLNf8KZHht4/wBHnZP6H0oJ8iwLArDqxDUNOG0yFGpuBQkitiKtfkZDcmiwPEJGuEJHC9EoaxI3fsbomBjVXMeRxJJl1zPMnXEeBexRs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)
A taxa de expansão do universo, conhecida como constante de Hubble, é um dos parâmetros fundamentais para a compreensão da evolução e do destino final do cosmos. No entanto, uma diferença persistente chamada "Tensão de Hubble" é observada entre o valor da constante medida com uma ampla gama de indicadores de distância independentes e o seu valor previsto a partir do brilho posterior do big bang. Observações combinadas da NIRCam (Near-Infrared Camera) da NASA e da WFC3 (Wide Field Camera 3) do Hubble mostram a galáxia espiral NGC 5584, que reside a 72 milhões de anos-luz de distância da Terra. Entre as estrelas brilhantes da NGC 5584 estão estrelas pulsantes chamadas variáveis Cefeidas e supernovas do Tipo Ia, uma classe especial de estrelas em explosão. Os astrônomos usam variáveis Cefeidas e supernovas do Tipo Ia como marcadores de distância confiáveis para medir a taxa de expansão do universo. Crédito: NASA, ESA, CSA e A. Riess (STScI).
A taxa de expansão do universo, conhecida como constante de Hubble, é um dos parâmetros fundamentais para a compreensão da evolução e do destino final do cosmos. No entanto, uma diferença persistente chamada "Tensão de Hubble" é observada entre o valor da constante medida com uma ampla gama de indicadores de distância independentes e o seu valor previsto a partir do brilho posterior do big bang.
O Telescópio Espacial James Webb da NASA fornece novas capacidades para examinar e refinar algumas das evidências observacionais mais fortes desta tensão. O ganhador do Prêmio Nobel Adam Riess, da Universidade Johns Hopkins e do Instituto de Ciências do Telescópio Espacial, apresenta o trabalho recente dele e de seus colegas usando observações de Webb para melhorar a precisão das medições locais da constante de Hubble:
"Você já teve dificuldade para ver um sinal que estava no limite da sua visão? O que ele diz? O que significa? Mesmo com os telescópios mais poderosos, os 'sinais' que os astrônomos desejam ler parecem tão pequenos que nós também lutamos ."
"O sinal que os cosmólogos querem ler é um sinal de limite de velocidade cósmica que nos diz quão rápido o universo está se expandindo - um número chamado constante de Hubble. Nosso sinal está escrito nas estrelas de galáxias distantes. O brilho de certas estrelas nessas galáxias diz nos dizem a que distância elas estão e, portanto, por quanto tempo essa luz está viajando para chegar até nós, e os desvios para o vermelho das galáxias nos dizem o quanto o universo se expandiu durante esse tempo, informando-nos, portanto, a taxa de expansão . "
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)
Este diagrama ilustra o poder combinado dos telescópios espaciais Hubble e Webb da NASA em determinar distâncias precisas a uma classe especial de estrela variável que é usada na calibração da taxa de expansão do Universo. Estas estrelas variáveis Cefeidas são vistas em campos estelares lotados. A contaminação luminosa das estrelas circundantes pode tornar a medição do brilho de uma Cefeida menos precisa. A visão infravermelha mais nítida de Webb permite que um alvo Cefeida seja mais claramente isolado das estrelas circundantes, como pode ser visto no lado direito do diagrama. Os dados de Webb confirmam a precisão de 30 anos de observações das Cefeidas pelo Hubble, que foram críticas para estabelecer o degrau inferior da escada de distância cósmica para medir a taxa de expansão do Universo. À esquerda,
"Uma classe específica de estrelas, variáveis Cefeidas, nos deu as medições mais precisas de distância por mais de um século porque essas estrelas são extraordinariamente brilhantes: são estrelas supergigantes, cem mil vezes a luminosidade do Sol. Além do mais, elas pulsam (isto é, expandem e contraem de tamanho) durante um período de semanas que indica sua luminosidade relativa. Quanto mais longo o período, mais intrinsecamente mais brilhantes eles são. "
"Eles são a ferramenta padrão ouro para medir as distâncias de galáxias a cem milhões ou mais de anos-luz de distância, um passo crucial para determinar a constante de Hubble. Infelizmente, as estrelas nas galáxias estão aglomeradas em um pequeno espaço de nossa visão distante. ponto e por isso muitas vezes nos falta a resolução para separá-los de seus vizinhos na linha de visão."
"Uma grande justificativa para a construção do Telescópio Espacial Hubble foi resolver este problema. Antes do lançamento do Hubble em 1990 e das suas subsequentes medições Cefeidas, a taxa de expansão do universo era tão incerta que os astrónomos não tinham a certeza se o universo estava a expandir-se durante 10 mil milhões ou 20 bilhões de anos. Isso ocorre porque uma taxa de expansão mais rápida levará a uma idade mais jovem para o universo, e uma taxa de expansão mais lenta levará a uma idade mais avançada do universo."
"O Hubble tem melhor resolução de comprimento de onda visível do que qualquer telescópio terrestre porque fica acima dos efeitos de desfoque da atmosfera da Terra. Como resultado, ele pode identificar variáveis Cefeidas individuais em galáxias que estão a mais de cem milhões de anos-luz de distância e medir o intervalo de tempo durante o qual eles mudam seu brilho."
"No entanto, também devemos observar as Cefeidas na parte infravermelha próxima do espectro para ver a luz que passa ilesa pela poeira intermediária. (A poeira absorve e espalha a luz óptica azul, fazendo com que objetos distantes pareçam fracos e nos enganando, fazendo-nos acreditar que eles são mais longe do que eles estão)."
"Infelizmente, a visão da luz vermelha do Hubble não é tão nítida quanto a azul, então a luz da estrela Cefeida que vemos lá está misturada com outras estrelas em seu campo de visão. Podemos contabilizar a quantidade média de mistura, estatisticamente, da mesma forma que um o médico calcula o seu peso subtraindo o peso médio das roupas da leitura da balança, mas isso adiciona ruído às medidas. As roupas de algumas pessoas são mais pesadas do que outras.
"No entanto, a visão infravermelha nítida é um dos superpoderes do Telescópio Espacial James Webb. Com seu grande espelho e óptica sensível, ele pode separar facilmente a luz Cefeida das estrelas vizinhas com pouca mistura. No primeiro ano de operações de Webb com nosso programa de Observadores Gerais Em 1685, coletamos observações de Cefeidas encontradas pelo Hubble em dois degraus ao longo do que é conhecido como escada de distância cósmica."
"O primeiro passo envolve observar Cefeidas em uma galáxia com uma distância geométrica conhecida que nos permite calibrar a verdadeira luminosidade das Cefeidas. Para o nosso programa, essa galáxia é NGC 4258. O segundo passo é observar Cefeidas nas galáxias hospedeiras do tipo recente Sou uma supernova."
"A combinação das duas primeiras etapas transfere o conhecimento da distância até as supernovas para calibrar suas verdadeiras luminosidades. A terceira etapa é observar as supernovas distantes, onde a expansão do universo é aparente e pode ser medida comparando as distâncias inferidas de suas brilho e os desvios para o vermelho das galáxias hospedeiras da supernova. Esta sequência de etapas é conhecida como escada de distância."
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)
Comparação das relações período-luminosidade das Cefeidas usadas para medir distâncias. Os pontos vermelhos são do Webb da NASA, e os pontos cinzas são do Hubble da NASA. O painel superior é para NGC 5584, o hospedeiro da supernova Tipo Ia, com a inserção mostrando imagens da mesma Cefeida vista por cada telescópio. O painel inferior é para NGC 4258, uma galáxia com uma distância geométrica conhecida, com a inserção mostrando a diferença nos módulos de distância entre NGC 5584 e NGC 4258 medidos com cada telescópio. Os dois telescópios estão em excelente acordo. Crédito: NASA, ESA, A. Riess (STScI) e G. Anand (STScI).
"Recentemente, obtivemos nossas primeiras medições de Webb nas etapas um e dois, o que nos permite completar a escada de distância e comparar com as medições anteriores com as medições do Hubble. As medições de Webb reduziram drasticamente o ruído nas medições de Cefeidas devido à resolução do observatório em comprimentos de onda do infravermelho próximo. ."
"Esse tipo de melhoria é o que os astrônomos sonham! Observamos mais de 320 Cefeidas nas duas primeiras etapas. Confirmamos que as medições anteriores do Telescópio Espacial Hubble eram precisas, embora mais barulhentas. Também observamos mais quatro hospedeiros de supernovas com Webb e vemos um resultado semelhante para toda a amostra."
"O que os resultados ainda não explicam é porque é que o Universo parece estar a expandir-se tão rapidamente! Podemos prever a taxa de expansão do Universo observando a sua imagem de bebé, a radiação cósmica de fundo em micro-ondas, e depois empregando o nosso melhor modelo de como ele cresce." ao longo do tempo para nos dizer quão rápido o universo deveria estar se expandindo hoje."
"O fato de a actual medida da taxa de expansão exceder significativamente a previsão é um problema que já dura uma década chamado 'A Tensão de Hubble'. A possibilidade mais excitante é que a Tensão seja uma pista sobre algo que nos falta na nossa compreensão do cosmos."
"Isso pode indicar a presença de energia escura exótica, matéria escura exótica, uma revisão em nossa compreensão da gravidade ou a presença de uma partícula ou campo único. A explicação mais mundana seria vários erros de medição conspirando na mesma direção (os astrônomos têm descartou um único erro usando etapas independentes), por isso é tão importante refazer as medições com maior fidelidade."
"Com Webb confirmando as medições do Hubble, as medições de Webb fornecem a evidência mais forte até agora de que erros sistemáticos na fotometria Cefeida de Hubble não desempenham um papel significativo na atual Tensão de Hubble. Como resultado, as possibilidades mais interessantes permanecem na mesa e o o mistério da tensão se aprofunda."
Esta postagem destaca dados de um artigo aceito pelo The Astrophysical Journal .
Mais informações: Adam G. Riess et al, Crowded No More: A precisão da constante de Hubble testada com observações de cefeidas de alta resolução por JWST, arXiv (2023). DOI: 10.48550/arxiv.2307.15806
Informações do periódico: Astrophysical Journal , arXiv