Exact black holes in quadratic gravity with any cosmological constant

0497779 - MÚ 2019 RIV US eng J - Journal Article
Švarc, R. - Podolský, J. - Pravda, Vojtěch - Pravdová, Alena
Exact black holes in quadratic gravity with any cosmological constant.
Physical Review Letters. Roč. 121, č. 23 (2018), č. článku 231104. ISSN 0031-9007. E-ISSN 1079-7114
Institutional support: RVO:67985840
Keywords : black holes * quadratic gravity
OECD category: Applied mathematics
Impact factor: 9.227, year: 2018
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.231104

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild–Bach–(anti-)de Sitter geometries, derived under the assumption of constant scalar curvature, form a three-parameter family determined by the black-hole horizon position, the value of the Bach invariant on the horizon, and the cosmological constant. Using a conformal to Kundt metric ansatz, the fourth-order field equations simplify to a compact autonomous system. Its solutions are found as power series, enabling us to directly set the Bach parameter and/or cosmological constant equal to zero. To interpret these spacetimes, we analyze the metric functions. In particular, we demonstrate that for a certain range of positive cosmological constant there are both black-hole and cosmological horizons, with a static region between them. The tidal effects on free test particles and basic thermodynamic quantities are also determined.
Permanent Link: http://hdl.handle.net/11104/0290272