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Shear-free Null Quasi-Spherical Spacetimes

Robert Bartnik
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Abstract

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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Robert Bartnik. 1997-05-28. Shear-free Null Quasi-Spherical Spacetimes. https://doi.org/10.1063/1.532165

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