Gregory-Laflamme analysis of MGD black strings

Autor(es)

Fernandes-Silva, A. ^[1] ; da Rocha, R. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210580 Santo Andre - Brazil

^[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210580 Santo Andre - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 3 MAR 29 2018.
• Citações Web of Science: 16

Resumo

The minimal geometric deformation (MGD), associated with the 4D Schwarzschild solution of the Einstein equations, is shown to be a solution of the pure 4D Ricci quadratic gravity theory, whose linear perturbations are then implemented by the Gregory-Laflamme eigentensors of the Lichnerowicz operator. The stability of MGD black strings is hence studied, through the correspondence between their Lichnerowicz eigenmodes and the ones associated with the 4D MGD solutions. It is shown that there exists a critical mass driving the MGD black strings stability, above which the MGD black string is precluded from any Gregory-Laflamme instability. The general-relativistic limit shows theMGDblack string to be unstable, as expected, corresponding to the standard Gregory-Laflamme black string instability. (AU)

• Processo FAPESP: 17/18897-8 - Correspondência fluido/gravidade, setores fermiônicos e suas ramificações
• Beneficiário: Roldão da Rocha
• Modalidade de apoio: Auxílio à Pesquisa - Regular