Quasinormal modes of a Casimir-like traversable wormhole through the semi-analytical WKB approach - INSPIRE

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Quasinormal modes of a Casimir-like traversable wormhole through the semi-analytical WKB approach

Sep, 2022

Published in:

Annals Phys. 446 (2022) 169128

Published: Nov, 2022
and
Published: Sep, 2022

e-Print:

2302.09141 [gr-qc]

DOI:

10.1016/j.aop.2022.169128 (publication)

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Abstract: (Elsevier Inc.)

In this work, we implement the semi-analytical WKB method to explore the behaviour of a scalar field on a traversable wormhole space–time with a Casimir-like complexity reported in Eur. Phys. J.C 82, 420 (2022). We estimate the error in the computation of the quasi-normal frequencies of the scalar field at each order in the WKB and show that the order with the best accuracy is not unique. We compute the value of the quasinormal frequencies for the smallest estimated error. As an aside, we find that the imaginary part of the quasinormal modes frequencies approach to zero for the fundamental mode mimicking the so-called quasi-resonance observed for massive scalar fields in the Reissner–Nordström background. •The computation of the quasinormal modes is performed through WKB approximation.•The best order of the WKB is estimated by computing the error.•The quasinormal frequencies are computed based on the WKB order.

QNM
field theory: scalar
wormhole: traversable
space-time: wormhole
quasinormal mode: frequency
WKB approximation
Reissner-Nordstroem
background
Casimir

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