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Gravitational Perturbations of a Radiating Spacetime

Manasse R. Mbonye·Ronald L. Mallett
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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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Manasse R. Mbonye, Ronald L. Mallett. 2000-10-03. Gravitational Perturbations of a Radiating Spacetime. https://doi.org/10.1023/a%3A1003789027892

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