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Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes

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arxiv 2102.09160 v2 pith:BZLNPMSW submitted 2021-02-18 gr-qc

Juan Carlos Del Águila , Tonatiuh Matos This is my paper · ORCID
classification gr-qc
keywords gravitationalperturbationswormholesequationformalismnewman-penroseanalysisapplications
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In this work we study the problem of linear stability of gravitational perturbations in stationary and spherically symmetric wormholes. For this purpose, we employ the Newman-Penrose formalism which is well-suited for treating gravitational radiation in General Relativity, as well as the geometrical aspect of this theory. With this method we obtain a "master equation" that describes the behavior of gravitational perturbations that are of odd-parity in the Regge-Wheeler gauge. This equation is later applied to a specific class of Morris-Thorne wormholes and also to the metric of an asymptotically flat scalar field wormhole. The analysis of the equations that these space-times yield reveals that there are no unstable vibrational modes generated by the type of perturbations here studied.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Einstein-Maxwell-Dilaton Wormholes that meet the Energy Conditions

    gr-qc 2025-02 reject novelty 4.0 of 10

    This paper presents two new exact rotating wormhole solutions and finds that the first family can satisfy the null energy condition with a dilatonic scalar field.

  2. Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant

    gr-qc 2025-02 conditional novelty 4.0 of 10

    For scalar perturbations of Einstein-Bumblebee black holes in de Sitter spacetime, increasing the Lorentz-violation parameter or the cosmological constant generally lowers the quasinormal mode frequency and damping rate.

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