Results 41 to 50 of about 90 (87)

Perfect fluid spacetimes admitting curvature collineations

General Relativity and Gravitation, 1991
This paper discusses curvature collineations in perfect fluid spacetimes within Einstein's general relativity. Using as starting point the papers of the reviewer [Gen. Relativ. Gravitation 15, 581-589 (1983; Zbl 0514.53018)] and the reviewer are and the second author [J. Math. Phys. 32, No.
Carot, J., Da Costa, J.
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Curvature collineations in certain gravitational space-times

General Relativity and Gravitation, 1975
It has been shown that the space-times formed from the product of two surfaces and from a thick gravitational plane wave sandwiched between two flat spacetimes admit proper curvature collineation in general. The curvature collineation vectors have been determined explicitly.
Singh, K. P., Sharma, D. N.
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Curvature collineations and the determination of the metric from the curvature in general relativity

General Relativity and Gravitation, 1983
It is shown that for a very general class of space-times, the componentsR of the curvature tensor determine the metric components up to a constant conformal factor.
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Curvature Collineations for Gravitational pp Waves

Journal of Mathematical Physics, 1970
Vacuum fields which admit a covariant constant vector are investigated in order to find ``curvature collineations,'' i.e., £Rklji=0. For all discussed types of pp waves it is shown that proper curvature collineations exist. We state the explicit form of these transformations.
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Curvature collineations of some static spherically symmetric space–times

Journal of Mathematical Physics, 1996
Curvature collineations of some static spherically symmetric space–times are derived and compared with isometries and Ricci collineations for corresponding space–times.
Bokhari, Ashfaque H., Kashif, A. R.
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Classification of spherically symmetric static space–times by their curvature collineations

Journal of Mathematical Physics, 1997
A complete classification of all spherically symmetric static space–times according to their curvature collineations is presented and compared with Ricci collineations of corresponding space–times.
Bokhari, Ashfaque H., Qadir, Asghar, Shahan Ahmed, M., Asghar, Mohammad   +3 more
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A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics

General Relativity and Gravitation, 2003
The authors study some properties of the infinitesimal curvature and Ricci collineations of a cylindrically symmetric static metric. They obtain a complete list of cylindrically symmetric static metrics by their curvature collineations. They show that there are curvature collineations that are distinct from the set of isometries and of Ricci ...
Bokhari, Ashfaque H., Kashif, Abdul R., Qadir, Asghar   +2 more
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Curvature Collineations in Empty Space-Times

Journal of Mathematical Physics, 1970
It is shown that the only curvature collineations admitted by an empty space-time, not of Petrov type N, are conformal motions. The curvature collineations admitted by the plane-fronted gravitational waves are found.
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A note on classification of dust static plane symmetric space-times via proper curvature collineations in f(R) gravity

International Journal of Geometric Methods in Modern Physics, 2022
In this paper, we classify dust static plane symmetric (SPS) space-times via proper curvature collineations (CCs) in the [Formula: see text] gravity using the rank of [Formula: see text] Riemann matrix and direct integration technique. Classifying the above mentioned space-times, we find that there arise six cases corresponding to specific values of ...
Aasma Nazir, Ghulam Shabbir, Fiaz Hussain, S. Jamal, M. Ramzan   +4 more
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Curvature and conformal collineations in presence of matter

General Relativity and Gravitation, 1988
Necessary and sufficient conditions for the existence of curvature and conformal collineations (when they are not conformal motions) are applied in order to obtain spherically symmetric metrics. This part bases on an earlier classification made by \textit{G. S. Hall} and \textit{C. B. G. McIntosh} [Int. J. Theor. Phys. 22, 469-476 (1983; Zbl 0523.53037)
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