A note on some general solutions of the Einstein field equations in a spherically symmetric world
type: Item
instance of: scholarly article
title: A note on some general solutions of the Einstein field equations in a spherically symmetric world
zbMATH Open document ID: 0926.53041
DOI: 10.1023/A:1018830527149
author: Bertil Qvist
author: Paul E. Kustaanheimo
published in: General Relativity and Gravitation
publication date: 1999-12-02T00:00:00Z
review text: This reprint of [\textit{P. Kustaanheimo} and \textit{B. Qvist}, Comment. Phys.-Math., Soc. Sci. Fennica 13, No. 16, 1-11 (1948; Zbl 0030.28202)] is accompanied by an introduction by Andrzej Krasiński and brief biographies of the authors. The authors' results cover the reduction of the Einstein equations for spherically symmetric perfect fluid solutions with zero shear in the nonstatic case to a single ODE and classify its solutions. Their results were rediscovered numerous times and this reprint attempts to ``channel future research in a more fruitful direction''.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 01A75
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 1290238
zbMATH Keywords: Einstein equations
zbMATH Keywords: spherically symmetric perfect fluid solutions
zbMATH Keywords: zero shear
MaRDI profile type: Publication
cites work: Inhomogeneous Cosmological Models
cites work: Jeffery-Williams Lecture, 1976 Non-Static Radially Symmetric Distributions of Matter
cites work: A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion
cites work: Expanding spherically symmetric models without shear
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description: scientific article; zbMATH DE number 1290238