Ringing of the regular blackhole/wormhole transition
Abstract
A simple oneparameter 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 (oneway wormhole) state. We study quasinormal modes of all the three states and show that the blackhole/wormhole transition is characterized by echoes, while the remnant of the black hole state is kept in the timedomain 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 timedomain 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:
 10.1088/13616382/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
 EPrint:
 8 pages, 4 figures, revtex, the version accepted for publication in Classical and Quantum Gravity, references added