N-dimensional Vaidya metric with cosmological constant in double-null coordinates

Details N-dimensional Vaidya metric with cosmological constant in double-null coordinates N-dimensional Vaidya metric with cosmological constant in double-null coordinates

2007-01-29

arxiv.org/abs/gr-qc/0701153v2

Phys.Rev.D75:124019,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 5 figs. Final version to appear in PRD

Scientific paper

10.1103/PhysRevD.75.124019

A recently proposed approach to the construction of the Vaidya metric in double-null coordinates for generic mass functions is extended to the $n$-dimensional $(n>2)$ case and to allow the inclusion of a cosmological constant. The approach is based on a qualitative study of the null-geodesics, allowing the description of light-cones and revealing many features of the underlying causal structure. Possible applications are illustrated by explicit examples. Some new exact solutions are also presented and discussed. The results presented here can simplify considerably the study of spherically symmetric gravitational collapse and mass accretion in arbitrary dimensions.

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