paper

Ringing of the regular black-hole/wormhole transition

arXiv:1911.11823 · doi:10.1088/1361-6382/ab7717

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 Padé expansion and the time-domain integration are in good agreement. An analytical formula governing quasinormal modes in the eikonal regime is given.

8 pages, 4 figures, revtex, the version accepted for publication in Classical and Quantum Gravity, references added

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