Asymptotic black holes and conformal mass in AdS quadratic curvature gravity

We explore the consistent truncation of conserved charges in quadratic curvature gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Notas

Indexación: Scopus

Palabras clave

Black Holes, Supergravity, General Relativity, Quadratic Curvature Gravity (QCG), Physical Theories, Black Holes, Lanczos-Lovelock Gravity

Citación

Physical Review D. Volume 108, Issue 6. 15 September 2023. Article number 064012

DOI

10.1103/PhysRevD.108.064012

URI

https://repositorio.unab.cl/handle/ria/63357

Colecciones

FCE - Artículos de Revista

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