Singularities in separable metrics with spherical, plane, and hyperbolic symmetry
type: Item
instance of: scholarly article
title: Singularities in separable metrics with spherical, plane, and hyperbolic symmetry
zbMATH Open document ID: 0651.53054
DOI: 10.1007/BF00759022
author: Eric Shaver
author: Kayll Lake
published in: General Relativity and Gravitation
publication date: 1988-01-01T00:00:00Z
review text: The authors consider solutions of the Einstein equations for a perfect fluid, with a separable diagonal metric of the form \[ ds\quad 2=-w\quad 2(x)v\quad 2(t)dt\quad 2+g\quad 2(t)S\quad 2(x)dx\quad 2+A\quad 2(t)B\quad 2(x)[dy\quad 2+h\quad 2(y)\quad dz\quad 2]. \] They demand that the fluid obeys both the weak and the strong energy conditions and that the curvature scalar \(R^{abcd} R_{abcd}\) does not become singular on \(x=const\). surfaces. They show that the only non-static solutions are the Robertson-Walker space-times, the space-times with \(w=S=B=1\), and a certain class of plane symmetric solutions.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 4062110
zbMATH Keywords: Einstein equations
zbMATH Keywords: perfect fluid
zbMATH Keywords: energy conditions
zbMATH Keywords: Robertson-Walker space-times
MaRDI profile type: Publication
cites work: Further remark concerning spherically symmetric nonstatic separable solutions to the Einstein equations in the comoving frame
cites work: A class of self-similar perfect-fluid spacetimes, and a generalisation
cites work: On spherically symmetric perfect fluid solutions
description: scientific article; zbMATH DE number 4062110