Gravitational Perturbations of a Radiating Spacetime

Details Gravitational Perturbations of a Radiating Spacetime Gravitational Perturbations of a Radiating Spacetime

2000-10-03

arxiv.org/abs/gr-qc/0010006v1

Found.Phys.30:747-774,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Prepared for Foundations of Physics Festschrift in honor of Kurt Haller

Scientific paper

10.1023/A:1003789027892

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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