Ringing of the regular black-hole/wormhole transition
Abstract
A simple one-parameter generalization of the Schwarzschild spacetime was recently suggested by A. Simpson and M. Visser [JCAP 1902, 042 (2019)] as a toy model describing the regular black hole and traversable wormhole states separated by the border (one-way wormhole) state. We study quasinormal modes of all the three states and show that the black-hole/wormhole transition is characterized by echoes, while the remnant of the black hole state is kept in the time-domain profile of the wormhole perturbation at the initial stage of the exponential fall off. Calculations of quasinormal modes using the WKB method with Pad\'{e} expansion and the time-domain integration are in good agreement. An analytical formula governing quasinormal modes in the eikonal regime is given.
Cite
@article{arxiv.1911.11823,
title = {Ringing of the regular black-hole/wormhole transition},
author = {M. S. Churilova and Z. Stuchlik},
journal= {arXiv preprint arXiv:1911.11823},
year = {2020}
}
Comments
8 pages, 4 figures, revtex, the version accepted for publication in Classical and Quantum Gravity, references added