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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Gregory-Laflamme analysis of MGD black strings

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Author(s):
Fernandes-Silva, A. [1] ; da Rocha, R. [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 3 MAR 29 2018.
Web of Science Citations: 16
Abstract

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)

FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
Grantee:Roldão da Rocha
Support Opportunities: Regular Research Grants