Version 1
: Received: 8 October 2023 / Approved: 9 October 2023 / Online: 9 October 2023 (07:34:45 CEST)
How to cite:
Bolokhov, S. Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence. Preprints2023, 2023100465. https://doi.org/10.20944/preprints202310.0465.v1
Bolokhov, S. Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence. Preprints 2023, 2023100465. https://doi.org/10.20944/preprints202310.0465.v1
Bolokhov, S. Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence. Preprints2023, 2023100465. https://doi.org/10.20944/preprints202310.0465.v1
APA Style
Bolokhov, S. (2023). Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence. Preprints. https://doi.org/10.20944/preprints202310.0465.v1
Chicago/Turabian Style
Bolokhov, S. 2023 "Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence" Preprints. https://doi.org/10.20944/preprints202310.0465.v1
Abstract
We show that perturbations of a scalar field in the background of the black hole obtained with the Starobinsky-Bel-Robinson Gravity is unstable unless the dimensionless coupling $\beta$ describing the compactification of M-theory is small enough. In the sector of stability quasinormal spectrum show peculiar behavior both in the frequency and time domains: the ringing consists of two stages where two different modes dominate. The WKB method does not reproduce part of the spectrum including the fundamental mode, which is responsible for the first stage of the ringing. Consequently, the correspondence between the eikonal quasinormal modes and null geodesics allows to reproduce only part of the eikonal spectrum. The frequencies are obtained with the help of three methods (Frobenius, WKB and time-domain integration) with excellent agreement among them.
Keywords
quasinormal modes; black holes; gravitation
Subject
Physical Sciences, Theoretical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
