Explicit black hole solutions in higher-derivative gravity

0491681 - MÚ 2019 RIV US eng J - Journal Article
Podolský, J. - Švarc, R. - Pravda, Vojtěch - Pravdová, Alena
Explicit black hole solutions in higher-derivative gravity.
Physical Review D. Roč. 98, č. 2 (2018), č. článku 021502(R). ISSN 2470-0010. E-ISSN 2470-0029
Institutional support: RVO:67985840
Keywords : black holes * quadratic gravity
OECD category: Applied mathematics
Impact factor: 4.368, year: 2018
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.021502

We present, in an explicit form, the metric for all spherically symmetric Schwarzschild-Bach black holes in Einstein-Weyl theory. In addition to the black hole mass, this complete family of spacetimes involves a parameter that encodes the value of the Bach tensor on the horizon. When this additional “non-Schwarzschild parameter” is set to zero, the Bach tensor vanishes everywhere, and the “Schwa-Bach” solution reduces to the standard Schwarzschild metric of general relativity. Compared with previous studies, which were mainly based on numerical integration of a complicated form of field equations, the new form of the metric enables us to easily investigate geometrical and physical properties of these black holes, such as specific tidal effects on test particles, caused by the presence of the Bach tensor, as well as fundamental thermodynamical quantities.
Permanent Link: http://hdl.handle.net/11104/0285328