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Gravitational Perturbations of a Radiating Spacetime
Authors:Manasse R Mbonye  Ronald L Mallett
Institution:(1) Department of Physics, University of Michigan, Ann Arbor, Michigan, 48109;(2) Department of Physics, University of Connecticut, Storrs, Connecticut, 06269
Abstract:This paper discusses the problem of gravitational perturbations of radiating spacetimes. We lay out the theoretical framework for describing the interaction of external gravitational fields with a radiating spacetime. This is done by deriving the field perturbation equations for a radiating metric. The equations are then specialized to a Vaidya spacetime. For the Hiscock ansatz of a linear mass model of a radiating blackhole the equations are found separable. Further, the resulting ordinary differential equations are found to admit analytic solutions. We obtain the solutions and discuss their characteristics.
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