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 =Λg 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”.
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References
Hawking S W and Ellis G F R 1973Large scale structure of space-time (Cambridge: University Press) p. 125
Melvin M A and Michalik T R 1980J. Math. Phys. 21 1938
Misner C W 1963J. Math. Phys. 4 924
Newman E, Tamburino L and Unti T 1963J. Math. Phys. 4 915
Schrödinger E 1956Expanding universes (Cambridge: University Press) p. 80
Taub A H 1951Ann. Math. 53 472
Vaidya P C, Patel L K and Bhatt P V 1976Gen. Relativ. Gravit. 16 355
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Vaidya, P.C. deSitter space-time and rotation. Pramana - J Phys 25, 513–518 (1985). https://doi.org/10.1007/BF02847227
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DOI: https://doi.org/10.1007/BF02847227