Abstract
It is shown that a general relativistic space-time with covariant-constant energy-momentum tensor is Ricci symmetric. Two particular types of such general relativistic space-times are considered and the nature of each is determined.
Similar content being viewed by others
References
Beem, J. K., and Ehrlich, P. L. (1981).Global Lorentzian Geometry, Dekker, New York.
Chaki, M. C. (1988). On pseudo Ricci symmetric manifolds,Bulgarian Journal of Physics,15, 526.
Garcia de Andrade, L. C. (1991).International Journal of Theoretical Physics,30, 235.
O'Neill, B. (1983).Semi-Riemannian Geometry, Academic Press, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chaki, M.C., Ray, S. Space-times with covariant-constant energy-momentum tensor. Int J Theor Phys 35, 1027–1032 (1996). https://doi.org/10.1007/BF02302387
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02302387