The gravitational perturbation of a Morris-Thorne wormhole and the Newman-Penrose formalism

The gravitational perturbation of the Morris-Thorne wormhole has been derived by using the Newman-Penrose formalism. We apply the Teukolsky equation to the wormhole spacetime, compute the perturbed Weyl scalars, Ψ4(1) and obtain its master equation, decomposed in spin weighted spherical harmonics wi...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 37; no. 10; pp. 105012 - 105028
Main Authors Kang, YuRi, Kim, Sung-Won
Format Journal Article
LanguageEnglish
Published IOP Publishing 21.05.2020
Subjects
gravitational perturbation
Newman-Penrose formalism
tetrad formalism
wormhole
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Summary:The gravitational perturbation of the Morris-Thorne wormhole has been derived by using the Newman-Penrose formalism. We apply the Teukolsky equation to the wormhole spacetime, compute the perturbed Weyl scalars, Ψ4(1) and obtain its master equation, decomposed in spin weighted spherical harmonics with spin weight −2. For simplicity, we consider the perturbation provoked by a single Gaussian pulse of pressureless dust matter.
Bibliography:CQG-106528.R1
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab7dd8