Results 61 to 70 of about 103 (82)

A note on proper curvature collineations in Bianchi type VIII and IX space-times

Gravitation and Cosmology, 2010
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Amjad Ali, Muhammad Ramzan, Ghulam Shabbir   +2 more
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Curvature collineations

General Relativity and Gravitation, 1972
exaly   +2 more sources

Curvature Collineations

World Scientific Lecture Notes in Physics, 2004
exaly   +2 more sources

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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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
openaire   +1 more source

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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Proper curvature collineations in cylindrically symmetric static space-time

Il Nuovo Cimento B, 2004
An approach is adopted to study proper curvature collineations in Spherically symmetric static space-times by using the rank of the 6x6 Rieman matrix. It is shown that when the above space-times admit proper curvature collineations, they form an infinite dimensional vector space.
Shabbir, G., Bokhari, A.H., Kashif, A.R.
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The Riemann tensor, the metric tensor, and curvature collineations in general relativity

Journal of Mathematical Physics, 1982
The equation xμνRμ λαβ+xμλRμ ναβ = 0, where xμν and Rμ ναβ are the components of an arbitrary symmetric tensor and of the Riemann tensor formed from the metric tensor gμν, is trivially satisfied by xμν = φgμν. Nontrivial solutions are important in various areas of general relativity such as in the study of curvature collineations, and also in the study
McIntosh, C. B. G., Halford, W. D.
openaire   +1 more source

Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors

Journal of Mathematical Physics, 1970
By definition, a Riemannian space Vn admits a symmetry called a curvature collineation (CC) if the Lie derivative with respect to some vector ξi of the Riemann curvature tensor vanishes. It is shown that if a Vn admits a parallel vector field, then it will admit groups of CC's.
Katzin, Gerald H., Levine, Jack, Davis, William R.   +2 more
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Projective curvature collineation in symmetric Finsler space

2012
In this paper we study different properties of projective curvature collineations in asymmetric Finsler spaces. Several results are obtained.
PANDE, H.D., KUMAR, A., DUBEY, V.J.
openaire   +2 more sources