Shear-free Null Quasi-Spherical Spacetimes

Details Shear-free Null Quasi-Spherical Spacetimes Shear-free Null Quasi-Spherical Spacetimes

1997-05-28

arxiv.org/abs/gr-qc/9705079v1

J.Math.Phys. 38 (1997) 5774-5791

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, revtex

Scientific paper

10.1063/1.532165

The residual gauge freedom within the null quasi-spherical coordinate condition is studied, for spacetimes admitting an expanding, shear-free null foliation. The freedom consists of a boost and rotation at each coordinate sphere, corresponding to a specification of inertial frame at each sphere. Explicit formulae involving arbitrary functions of two variables are obtained for the accelerated Minkowski, Schwarzschild, and Robinson-Trautman spacetimes. These examples will be useful as test metrics in numerical relativity.

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