N-dimensional plane symmetric solution with perfect fluid source
General Relativity and Quantum Cosmology
2011-03-28 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A new class of plane symmetric solution sourced by a perfect fluid is found in our recent work. An n-dimensional () global plane symmetric solution of Einstein field equation generated by a perfect fluid source is investigated, which is the direct generalization of our previous 4-dimensional solution. One time-like Killing vector and space-like Killing vectors, which span a Euclidean group , are permitted in this solution. The regions of the parameters constrained by weak, strong and dominant energy conditions for the source are studied. The boundary condition to match to n-dimensional Taub metric and Minkowski metric are analyzed respectively.
Keywords
Cite
@article{arxiv.0904.0065,
title = {N-dimensional plane symmetric solution with perfect fluid source},
author = {Hongsheng Zhang and Hyerim Noh},
journal= {arXiv preprint arXiv:0904.0065},
year = {2011}
}
Comments
9 pages, 1 table; v2: 2 references added