General Solution for Self-Gravitating Spherical Null Dust

Details General Solution for Self-Gravitating Spherical Null Dust General Solution for Self-Gravitating Spherical Null Dust

1997-05-13

arxiv.org/abs/gr-qc/9705030v1

Phys.Rev.D56:6067-6070,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, Latex, 1 figure

Scientific paper

10.1103/PhysRevD.56.R6067

We find the general solution of equations of motion for self-gravitating spherical null dust as a perturbative series in powers of the outgoing matter energy-momentum tensor, with the lowest order term being the Vaidya solution for the ingoing matter. This is done by representing the null-dust model as a 2d dilaton gravity theory, and by using a symmetry of a pure 2d dilaton gravity to fix the gauge. Quantization of this solution would provide an effective metric which includes the back-reaction for a more realistic black hole evaporation model than the evaporation models studied previously.

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