Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime
Differential Geometry
2016-05-25 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and \'{O} Murchadha in their 2003 paper.
Keywords
Cite
@article{arxiv.1507.07447,
title = {Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime},
author = {Kuo-Wei Lee and Yng-Ing Lee},
journal= {arXiv preprint arXiv:1507.07447},
year = {2016}
}
Comments
28 pages, 3 figures. This paper is submitted and accepted in Annales Henri Poincar\'e