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Oliveira, R.; Dantas, D. M.; Santos, Victor; Almeida, C. A. S.

Quasinormal modes of bumblebee wormhole. (English) Zbl 1475.83025

Classical Quantum Gravity 36, No. 10, Article ID 105013, 11 p. (2019).
Summary: In this work, we calculate the quasinormal frequencies from a bumblebee traversable wormhole. The bumblebee wormhole model is based on the bumblebee gravity, which exhibits a spontaneous Lorentz symmetry breaking. Supporting by the Lorentz violation parameter \(\lambda\), this model allows for the fulfillment of the flare-out and energy conditions, granted non-exotic matter to the wormhole. We analyze the parameters of the bumblebee wormhole in order to obtain a Regge-Wheeler’s equation with a bell-shaped potential. We obtain the quasinormal modes (QNMs) via the WKB approximation method for both scalar and gravitational perturbations. The time domain has decreasing oscillation (damping) profiles for the bumblebee wormhole.

Cited in 21 Documents

MSC:

83C35 Gravitational waves
83C57 Black holes
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
81R40 Symmetry breaking in quantum theory
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory

Keywords:

gravitational waves, wormholes, quasi-normal modes, Regge-Wheeler’s potential
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