Results 81 to 90 of about 567 (106)

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.
Ashfaque H Bokhari, Asghar Qadir
exaly   +2 more sources

Bianchi types of a three-parameter group of curvature collineations

General Relativity and Gravitation, 1986
The Bianchi types of the three-parameter group of curvature collineations admitted by a previously discussed family of typeN Robinson-Trautman empty space-times are obtained.
exaly   +2 more sources

Classification of curvature collineations of plane symmetric static spacetimes

Journal of Mathematical Physics, 2000
A complete classification of curvature collineations of static plane symmetric spacetimes is obtained and then a comparison between isometries and Ricci Collineations of the corresponding metrics is given.
Ashfaque H Bokhari, Asghar Qadir
exaly   +3 more sources

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

Gravitation and Cosmology, 2010
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Ghulam Shabbir, Muhammad Ramzan
exaly   +3 more sources

Curvature collineations

General Relativity and Gravitation, 1972
P C Aichelburg
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.
openaire   +2 more sources

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)
openaire   +2 more sources

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