Topological black holes in higher derivative gravity

0569840 - MÚ 2024 RIV DE eng J - Journal Article
Pravdová, Alena - Pravda, Vojtěch - Ortaggio, Marcello
Topological black holes in higher derivative gravity.
European Physical Journal C. Roč. 83, č. 2 (2023), č. článku 180. ISSN 1434-6044. E-ISSN 1434-6052
R&D Projects: GA ČR(CZ) GA19-09659S
Institutional support: RVO:67985840
Keywords : quadratic gravity * black holes
OECD category: Pure mathematics
Impact factor: 4.4, year: 2022
Method of publishing: Open access
https://doi.org/10.1140/epjc/s10052-023-11338-9

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two independent integration constants – the black hole radius and the strength of the Bach tensor at the horizon. While in Einstein’s gravity, such black holes require a negative cosmological constant Λ, in quadratic gravity they can exist for any sign of Λ and also for Λ=0. Different branches of Schwarzschild–Bach–(A)dS or purely Bachian black holes are identified which admit distinct Einstein limits. Depending on the curvature of the transverse space and the value of Λ, these Einstein limits result in (A)dS–Schwarzschild spacetimes with a transverse space of arbitrary curvature (such as black holes and naked singularities) or in Kundt metrics of the (anti-)Nariai type (i.e., dS2×S2, AdS2×H2, and flat spacetime).
Permanent Link: https://hdl.handle.net/11104/0341167