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 [2019 J. Cosmol. Astropart. Phys. JCAP02(2019)042] 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 Padé expansion and the time-domain integration are in good agreement. An analytical formula governing quasinormal modes in the eikonal regime is given.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- April 2020
- DOI:
- 10.1088/1361-6382/ab7717
- arXiv:
- arXiv:1911.11823
- Bibcode:
- 2020CQGra..37g5014C
- Keywords:
-
- black hole;
- quasinormal mode;
- wormhole;
- echo;
- General Relativity and Quantum Cosmology;
- Astrophysics - High Energy Astrophysical Phenomena;
- High Energy Physics - Theory
- E-Print:
- 8 pages, 4 figures, revtex, the version accepted for publication in Classical and Quantum Gravity, references added