Os cientistas avançaram na descoberta de como usar ondulações no espaço-tempo, conhecidas como ondas gravitacionais, para voltar ao início de tudo o que conhecemos. Os pesquisadores dizem que podem entender melhor o estado do cosmos...
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)
Simulação numérica das estrelas de nêutrons se fundindo para formar um buraco negro, com seus discos de acreção interagindo para produzir ondas eletromagnéticas. Crédito: L. Rezolla (AEI) e M. Koppitz (AEI e Zuse-Institut Berlin)
Os cientistas avançaram na descoberta de como usar ondulações no espaço-tempo, conhecidas como ondas gravitacionais, para voltar ao início de tudo o que conhecemos. Os pesquisadores dizem que podem entender melhor o estado do cosmos logo após o Big Bang, aprendendo como essas ondulações no tecido do universo fluem através dos planetas e do gás entre as galáxias.
"Não podemos ver o universo primitivo diretamente, mas talvez possamos vê-lo indiretamente se observarmos como as ondas gravitacionais daquela época afetaram a matéria e a radiação que podemos observar hoje", disse Deepen Garg, principal autor de um artigo que relata os resultados no Journal of Cosmology and Astroarticle Physics . Garg é um estudante de pós-graduação no Programa de Princeton em Física de Plasma, baseado no Laboratório de Física de Plasma de Princeton (PPPL) do Departamento de Energia dos Estados Unidos (DOE).
Garg e seu orientador Ilya Dodin, que é afiliado à Universidade de Princeton e ao PPPL, adaptaram essa técnica de suas pesquisas sobre energia de fusão , o processo que alimenta o sol e as estrelas que os cientistas estão desenvolvendo para criar eletricidade na Terra sem emitir gases de efeito estufa ou produzir longos -resíduos radioativos vivos. Os cientistas de fusão calculam como as ondas eletromagnéticas se movem através do plasma, a sopa de elétrons e núcleos atômicos que alimenta as instalações de fusão conhecidas como tokamaks e stellarators.
Acontece que esse processo se assemelha ao movimento das ondas gravitacionais através da matéria. “Basicamente, colocamos máquinas de ondas de plasma para trabalhar em um problema de onda gravitacional”, disse Garg.
As ondas gravitacionais, previstas pela primeira vez por Albert Einstein em 1916 como consequência de sua teoria da relatividade, são distúrbios no espaço-tempo causados ??pelo movimento de objetos muito densos. Eles viajam na velocidade da luz e foram detectados pela primeira vez em 2015 pelo Laser Interferometer Gravitational Wave Observatory (LIGO) por meio de detectores no estado de Washington e na Louisiana.
Garg e Dodin criaram fórmulas que teoricamente poderiam levar ondas gravitacionais a revelar propriedades ocultas sobre corpos celestes, como estrelas que estão a muitos anos-luz de distância. À medida que as ondas fluem através da matéria, elas criam luz cujas características dependem da densidade da matéria.
Um físico poderia analisar essa luz e descobrir propriedades sobre uma estrela a milhões de anos-luz de distância. Essa técnica também pode levar a descobertas sobre a colisão de estrelas de nêutrons e buracos negros, remanescentes ultradensos de estrelas mortas. Eles poderiam até revelar informações sobre o que estava acontecendo durante o Big Bang e os primeiros momentos do nosso universo.
A pesquisa começou sem qualquer noção de quão importante poderia se tornar. "Achei que seria um projeto pequeno de seis meses para um aluno de pós-graduação que envolveria a resolução de algo simples", disse Dodin. "Mas quando começamos a nos aprofundar no assunto, percebemos que muito pouco era entendido sobre o problema e poderíamos fazer um trabalho teórico básico aqui."
Os cientistas agora planejam usar a técnica para analisar dados em um futuro próximo. "Temos algumas fórmulas agora, mas obter resultados significativos exigirá mais trabalho", disse Garg.
Mais informações: Deepen Garg et al, Modos de onda gravitacional na matéria, Journal of Cosmology and Astroarticle Physics (2022). DOI: 10.1088/1475-7516/2022/08/017