The Gravitational Perturbation of a Morris-Thorne Wormhole and The Newman-Penrose Formalism

Abstract

The gravitational perturbation of the Morris-Thorne wormhole has been derived by using the Newman-Penrose formalism. We apply Teukolsky equation to the wormhole spacetime, compute the perturbed Weyl scalars, ${\Psi }_4^{(1)}$ 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.

20 pages, 6 figures

References in corpus (2)

• EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole
• On finding fields and self-force in a gauge appropriate to separable wave equations

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