2017/08/31 by A. Fernandes-Silva, A. Fernandes–Silva, R. da Rocha · 53 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Black hole (networking) #Black string #Cosmology and Gravitation Theories #Einstein #Limit (mathematics) #Schwarzschild radius #String (physics) #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-018-5754-8
published in The European Physical Journal C 78(3) (Springer Science+Business Media) · 9 pages, 1 figure, matches the published version
openalex created_date 2017/09/15 · openalex publication_date 2018/03/01 · arxiv created 2018/04/02 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/06
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.