Constant Mean Curvature Slices of the Reissner-Nordström Spacetime

2013/07/17 by Patrick Tuite, Tuite, Patrick, Niall Ó Murchadha +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysical Phenomena and Observations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.48550/arxiv.1307.4657

arxiv created 2013/07/17 · openalex publication_date 2013/07/17 · arxiv updated 2013/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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