Harmonic morphisms and shear-free perfect fluids coupled with gravity
type: Item
instance of: scholarly article
title: Harmonic morphisms and shear-free perfect fluids coupled with gravity
zbMATH Open document ID: 1307.53012
author: Radu Slobodeanu
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2014-09-11T00:00:00Z
review text: The author considers a four-dimensional space-time (\(M,g\)) of Robertson-Walker type, modeling a relativistic perfect fluid (\(U,p,\rho\)), where \(U\) is a time-like future-pointing unit vector field on \(M\); \(p\) and \(\rho\) are the pressure and the mass density functions, respectively. The perfect fluid is supposed to be coupled with gravity (i.e., the Einstein's equations hold) and shear-free (i.e., \(\rho = -3p= \lambda^2\) for a special ``dilation'' function \(\lambda\)). Under these hypotheses, the author proves the known fact that the fluid is either irrotational or expansion-free. The novelty brought by the paper consists in the proof based on the classification of harmonic morphisms with one-dimensional fibers on four-dimensional Einstein manifolds.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 6342897
zbMATH Keywords: harmonic morphism
zbMATH Keywords: Einstein's equations
zbMATH Keywords: relativistic perfect fluid
zbMATH Keywords: shear-free vector
zbMATH Keywords: perfect fluid coupled with gravity
zbMATH Keywords: Robertson-Walker space-time
MaRDI profile type: Publication
full work available at URL: s10231-012-0320-8
OpenAlex ID: W2038707556
Wikidata QID: Q125851949
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DOI: 10.1007/S10231-012-0320-8
description: scientific article; zbMATH DE number 6342897