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Pramana

, Volume 25, Issue 5, pp 513–518 | Cite as

deSitter space-time and rotation

  • P C Vaidya
General Relativity

Abstract

A metric containing a parameterb is presented. It represents two distinct families of space-times, the Taub-nut family and the deSitter family, according asb=1 andb=4 respectively.

The metric of the deSitter family of space-times contains a further parameterm. Whenm=0, the space-time is the usual homogeneous and isotropic deSitter space-time. But ifm≠0, the metric represents a space-time which is homogeneous but not isotropic satisfyingR ik g ik . In this space-time, the 4-velocity of an observer at rest will have non-zero twist. The metric withb=4,m≠0 is interpreted as a metric representing a “rotating deSitter space-time”.

Keywords

deSitter universe nut-metric rotation 

PACS No

04.20 

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Copyright information

© Indian Academy of Sciences 1985

Authors and Affiliations

  • P C Vaidya
    • 1
  1. 1.Department of MathematicsGujarat UniversityAhmedabadIndia

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