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 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. Its 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 leads the MGD black string to be unstable, as expected, corresponding to the standard Gregory-Laflamme black string instability.

9 pages, 1 figure, matches the published version

References in corpus (19)

• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Black Holes in Higher-Derivative Gravity
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Brane-world stars with solid crust and vacuum exterior
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Dark SU(N) glueball stars on fluid branes
• Static Solutions for 4th order gravity
• Black hole acoustics in the minimal geometric deformation of a de Laval nozzle
• Non-uniform Braneworld Stars: an Exact Solution
• Friedmann branes with variable tension
• The Minimal Geometric Deformation Approach: a brief introduction
• Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
• Notes on the Two-brane Model with Variable Tension
• Inflation and late time acceleration in braneworld cosmological models with varying brane tension
• Surface Tension and the Cosmological Constant
• Casadio-Fabbri-Mazzacurati Black Strings and Braneworld-induced Quasars Luminosity Corrections
• Two-branes with variable tension model and the effective Newtonian constant

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• Gravitational decoupling, hairy black holes and conformal anomalies
• Gravitational decoupling of generalized Horndeski hybrid stars
• Braneworld Gravity under gravitational decoupling
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