Gregory–Laflamme analysis of MGD black strings
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...
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2018-03-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5754-8 |
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doaj-5b4b55257f8c4d2bbf4384b66347008a2020-11-25T00:36:27ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-03-017831910.1140/epjc/s10052-018-5754-8Gregory–Laflamme analysis of MGD black stringsA. Fernandes–Silva0R. da Rocha1Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, UFABCCentro de Matemática, Computação e Cognição, Universidade Federal do ABC, UFABCAbstract 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 the MGD black string to be unstable, as expected, corresponding to the standard Gregory–Laflamme black string instability.http://link.springer.com/article/10.1140/epjc/s10052-018-5754-8 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Fernandes–Silva R. da Rocha |
spellingShingle |
A. Fernandes–Silva R. da Rocha Gregory–Laflamme analysis of MGD black strings European Physical Journal C: Particles and Fields |
author_facet |
A. Fernandes–Silva R. da Rocha |
author_sort |
A. Fernandes–Silva |
title |
Gregory–Laflamme analysis of MGD black strings |
title_short |
Gregory–Laflamme analysis of MGD black strings |
title_full |
Gregory–Laflamme analysis of MGD black strings |
title_fullStr |
Gregory–Laflamme analysis of MGD black strings |
title_full_unstemmed |
Gregory–Laflamme analysis of MGD black strings |
title_sort |
gregory–laflamme analysis of mgd black strings |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2018-03-01 |
description |
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 the MGD black string to be unstable, as expected, corresponding to the standard Gregory–Laflamme black string instability. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-018-5754-8 |
work_keys_str_mv |
AT afernandessilva gregorylaflammeanalysisofmgdblackstrings AT rdarocha gregorylaflammeanalysisofmgdblackstrings |
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1725305294768046080 |