Three classes of space-time with a uniformly accelerating and nonrotating gravitational source
type: Item
instance of: scholarly article
title: Three classes of space-time with a uniformly accelerating and nonrotating gravitational source
zbMATH Open document ID: 0552.53035
DOI: 10.1007/BF00760055
author: N. E. Zubov
published in: General Relativity and Gravitation
publication date: 1983-01-01T00:00:00Z
review text: Referring to their previous paper [Prog. Theor. Phys. 67, 828-843 (1982)] where null tetrad vectors for the type D nonrotating empty spaces are represented in terms of the outgoing null coordinates, the authors study in this work the three classes \(A^*_+\), \(A^*_-\) and \(A^*_ 0\) and in order to see their physical meaning, they consider another special case with \(M=0\), which corresponds to a flat space-time without source. After some computations, the authors conclude that the \(A^*_+\) metric \((c=1)\) represents an extremal gravitational field of a slower-than-light source which moves with a uniform acceleration, while the \(A^*_-\) metric or \(A^*_ 0\) metric \((c=-1\) or \(c=0\) respectively) represents a field of a faster-than- or equal-to-light source with uniform acceleration, respectively. Comparisons between the present analysis and that of others are made. In this case, the authors highlight two Killing horizons if one takes the range of the coordinate \(r: 0<r<\infty\), while there is one horizon in the range \(-\infty <r<0\).
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C45
zbMATH DE Number: 3879672
zbMATH Keywords: nonrotating empty spaces
zbMATH Keywords: flat space-time
zbMATH Keywords: extremal gravitational field
zbMATH Keywords: Killing horizons
MaRDI profile type: Publication
cites work: Q5562586
cites work: Type D Vacuum Metrics
cites work: Uniformly Accelerating Charged Mass in General Relativity
cites work: Classification of Petrov type \(D\) empty Einstein spaces with diverging null geodesic congruences.
cites work: On quadratic first integrals of the geodesic equations for type [22] spacetimes
cites work: Q5527778
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full work available at URL: https://doi.org/10.1007/bf00760055
OpenAlex ID: W1982177592
description: scientific article; zbMATH DE number 3879672