Version 1
: Received: 8 October 2023 / Approved: 9 October 2023 / Online: 9 October 2023 (11:41:30 CEST)
How to cite:
Bolokhov, S. Long Lived Quasinormal Modes and Telling Oscillatory Tails of the Bardeen Spacetime. Preprints2023, 2023100517. https://doi.org/10.20944/preprints202310.0517.v1
Bolokhov, S. Long Lived Quasinormal Modes and Telling Oscillatory Tails of the Bardeen Spacetime. Preprints 2023, 2023100517. https://doi.org/10.20944/preprints202310.0517.v1
Bolokhov, S. Long Lived Quasinormal Modes and Telling Oscillatory Tails of the Bardeen Spacetime. Preprints2023, 2023100517. https://doi.org/10.20944/preprints202310.0517.v1
APA Style
Bolokhov, S. (2023). Long Lived Quasinormal Modes and Telling Oscillatory Tails of the Bardeen Spacetime. Preprints. https://doi.org/10.20944/preprints202310.0517.v1
Chicago/Turabian Style
Bolokhov, S. 2023 "Long Lived Quasinormal Modes and Telling Oscillatory Tails of the Bardeen Spacetime" Preprints. https://doi.org/10.20944/preprints202310.0517.v1
Abstract
The Bardeen black hole stands as the first model of a regular black hole. Driven by the interpretations of Bardeen spacetime as a quantum-corrected Schwarzschild-like solution, we study quasinormal modes of a massive scalar field within this context. We have found that the damping rate of the massive scalar field decreases as the mass grows, leading to appearance of the arbitrarily long lived modes. or quasiresonances. The massive term in the Bardeen case is distinctive also in two other respects. First, the overtones deviate from their massless limit at a much smaller rate than the fundamental mode, when the mass is turned on. This behavior overlaps with the outburst of overtones due to the quantum deformation near the event horizon. Finally, integration in the time-domain shows that the oscillatory tails decay as $\sim t^{-(\frac{8}{6}+\ell)}$ at intermediate times and as $\sim t^{-1}$ at asymptotically late times, which is different from the Reissner-Nordstr\"om and Schwarzschild limits.
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.
