2022
DOI: 10.1140/epjc/s10052-022-10121-6
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Gravitational decoupling, hairy black holes and conformal anomalies

Abstract: Hairy black holes in the gravitational decoupling setup are studied from the perspective of conformal anomalies. Fluctuations of decoupled sources can be computed by measuring the way the trace anomaly-to-holographic Weyl anomaly ratio differs from the unit. Therefore the gravitational decoupling parameter governing three hairy black hole metrics is then bounded to a range wherein one can reliably emulate AdS/CFT with gravitational decoupled solutions, in the tensor vacuum regime.

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Cited by 27 publications
(11 citation statements)
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“…Since Ref. [66] showed that GD hairy black holes can be accurately emulated in the membrane paradigm of AdS/CFT, one can still interpret the results here obtained in the light of Ref. [103].…”
Section: Conclusion and Perspectivesupporting
confidence: 51%
See 1 more Smart Citation
“…Since Ref. [66] showed that GD hairy black holes can be accurately emulated in the membrane paradigm of AdS/CFT, one can still interpret the results here obtained in the light of Ref. [103].…”
Section: Conclusion and Perspectivesupporting
confidence: 51%
“…When starting by a perfect fluid, one can couple it to more elaborated types of stress-energymomentum tensors, that underlie realistic compact configurations . Particularly the case of GD involving hairy solutions has been explored, with astonishing and relevant physical ramifications [63][64][65][66]. Hairy black holes present additional degrees of freedom of macroscopic nature, which are not associated with a Gauss flux theorem for gravity.…”
Section: Introductionmentioning
confidence: 99%
“…[32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]). Even this framework has been used widely in several scenarios such as 2 + 1 space-times [50][51][52][53][54][55], higher dimensions [56,57], asymptotically (A-)dS space-times [58], for axially symmetric systems and rotating black holes [59], hairy black holes [60][61][62], Cosmology [63,64], solutions in the background of Reissner-Nordström space-time [65][66][67], modified gravity theories [68][69][70][71][72][73][74][75][76][77][78], as well in braneworld gravity [79][80]…”
Section: Introductionmentioning
confidence: 99%
“…These solutions describe a black hole with hair represented by generic fields surrounding the central source of the vacuum Schwarzschild metric, requiring the existence of a well-defined event horizon and hair that obeys the strong energy conditions outside the horizon [18]. Some interesting consequences of these hairy black holes have been investigated [25][26][27], and there is much to be done in the future.…”
Section: Introductionmentioning
confidence: 99%