Spherically symmetric solutions with any cosmological constant in the Einstein-Weyl gravity

0559086 - MÚ 2023 RIV SG eng C - Conference Paper (international conference)
Švarc, R. - Podolský, J. - Pravda, Vojtěch - Pravdová, Alena
Spherically symmetric solutions with any cosmological constant in the Einstein-Weyl gravity.
The Fifteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. Singapore: World Scientific, 2022 - (Battistelli, E.; Jantzen, R.; Ruffini, R.), s. 483-488. ISBN 978-981-125-825-1.
[MG15 Meeting on General Relativity. Rome (IT), 01.07.2018-07.07.2018]
R&D Projects: GA ČR(CZ) GA19-09659S
Institutional support: RVO:67985840
Keywords : Einstein-Weyl theory * quadratic gravity * black holes * Bach tensor
OECD category: Pure mathematics
https://doi.org/10.1142/9789811258251_0061

In our contribution we present spherically symmetric solutions in four dimensions tothe Einstein-Weyl (and also general quadratic) gravity admitting arbitrary value of thecosmological constant. The main attention is paid to the black hole spacetimes represent-ing one parameter extension of the well-known Schwarzschild-(anti-)de Sitter geometry ofEinstein’s general relativity. This additional parameter corresponds to the non-vanishingvalue of the Bach tensor at the black hole horizon. Our work thus generalises recent pa-per by L ̈u et al. (Phys. Rev. Lett. 114 (2015) 171) to any value of the cosmologicalconstant. Moreover, using more convenient metric ansatz, the field equations form anautonomous system and their solution is explicitly obtained in an exact form of powerseries. The physical interpretation of these geometries is also discussed, namely we inves-tigate specific tidal effects on free test particles or their basic thermodynamic properties.
Permanent Link: https://hdl.handle.net/11104/0332507