N-dimensional plane symmetric solution with perfect fluid source

Abstract

A new class of plane symmetric solution sourced by a perfect fluid is found in our recent work. An n-dimensional ($n\ge 4$) 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 $(n-2)(n-1)/2$ space-like Killing vectors, which span a Euclidean group $G_{(n-2)(n-1)/2}$, 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.

9 pages, 1 table; v2: 2 references added

References in corpus (2)

• A new class of plane symmetric solution
• Some properties of a new class of plane symmetric solution

Cited by in corpus (4)

• Braneworld cosmology in the sourced-Taub background
• Dynamical spacetimes in conformal gravity
• Expanding, shearing and accelerating isotropic plane symmetric universe with conformal Kasner geometry
• Static plane symmetric solutions in $f(Q)$ gravity