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arXiv · 1307.4657

Constant Mean Curvature Slices of the Reissner-Nordström Spacetime

Patrick Tuite·Niall Ó Murchadha
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Abstract

In order to specify a foliation of spacetime by spacelike hypersurfaces we need to place some restriction on the initial data and from this derive a way to calculate the lapse function $α$ which measures the proper time and interval between neighbouring hypersurfaces along the normal direction. Here we study a prescribed slicing known as the Constant Mean Curvature (CMC) slicing. This slicing will be applied to the Reissner-Nordström metric and the resultant slices will be investigated and then compared to those of the extended Schwarzschild solution.

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Patrick Tuite, Niall Ó Murchadha. 2013-07-17. Constant Mean Curvature Slices of the Reissner-Nordström Spacetime. https://arxiv.org/abs/1307.4657

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