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arXiv · 1502.02858

On the local form of static plane symmetric space-times in the presence of matter

Leandro G. Gomes
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Abstract

For any configuration of a static plane-symmetric distribution of matter along space-time, there are coordinates where the metric can be put explicitly as a functional of the energy density and pressures. It satisfies Einstein equations as far as we require the conservation of the energy-momentum tensor, which is the single ODE for self-gravitating hydrostatic equilibrium. As a direct application, a general solution is given when the pressures are linearly related to the energy density, recovering, as special cases, most of known solutions of static plane-symmetric Einstein equations.

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Leandro G. Gomes. 2015-02-10. On the local form of static plane symmetric space-times in the presence of matter. https://doi.org/10.1088/0264-9381/32/18/185010

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