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 the Teukolsky equation to the wormhole spacetime, compute the perturbed Weyl scalars, psi 4(1)<i 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.