English

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 (n4n\geq 4) 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 (n2)(n1)/2(n-2)(n-1)/2 space-like Killing vectors, which span a Euclidean group G(n2)(n1)/2G_{(n-2)(n-1)/2}, 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

R2 v1 2026-06-21T12:46:54.410Z