Abstract
The paper studies the vorticity- and shear-free nonstatic space-times with perfect fluid source in genera] relativity and finds that such space-times are either spherically symmetric or pseudospherical or plane symmetric.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Raychaudhuri, A. K. (1979).Theoretical Cosmology (Clarendon Press, Oxford).
Shepley, L. C., and Taub, T. (1967).Commun. Math. Phys.,5, 237.
Tramper, M. (1967).Z. Astro. Phys.,66, 215.
Adler, R., Bazin, M., and Schiffer, M. (1975).Introduction to General Relativity (McGraw-Hill, New York).
Raychaudhuri, A. K., and Maiti, S. R. (1979).J. Math. Phys.,20, 245.
Wyman, M. (1946).Phys. Rev.,70, 396.
Srivastava, D. C., and Prasad, S. S. (1981). Preprint.
Liang, E. P. (1975).Phys. Lett A,51, 141.
Ellis, G.F.R. (1971). InGeneral Relativity and Cosmology, XLII Corso, Varenna, Italy, 1969, Sachs, R. K. Ed. (Academic, New York).
Tolman, R. C. (1934).Relativity, Thermodynamics and Cosmology (Oxford University Press, New York).
Eisenhart, L. P. (1949).Riemanian Geometry (Princeton University Press, Princeton, New Jersey).
Hawking, S. W., and Ellis, G.F.R. (1973).The Large-Scale Structure of the Space-Time (Cambridge University Press, Cambridge).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maiti, S.R. Vorticity- and shear-free space-time in general relativity. Gen Relat Gravit 16, 297–303 (1984). https://doi.org/10.1007/BF00762544
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00762544