Results 91 to 100 of about 507 (127)
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.
C. D. Collinson
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PROPER CURVATURE COLLINEATIONS IN SPHERICALLY SYMMETRIC STATIC SPACE-TIMES
Il Nuovo Cimento B, 2003 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.
Ghulam Shabbir +2 more
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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 +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)
R A Tello-Llanos
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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.
Ashfaque H. Bokhari +3 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.
H. D. Pande, Ajay Kumar, Varun Dubey
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Curvature collineations of non-expanding and twist-free vacuum type-N metrics in general relativity
Journal of Physics A: Mathematical and General, 1980 The curvature collineation equations have been solved for the two families of Petrov type-N plane-fronted gravitational wave solutions of Einstein's vacuum field equations in general relativity. Both of these solutions always have non-trivial curvature collineations, i.e.
W. D. Halford +2 more
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Journal of Mathematical Physics, 1969 A Riemannian space Vn is said to admit a particular symmetry which we call a ``curvature collineation'' (CC) if there exists a vector ξi for which £ξRjkmi=0, where Rjkmi is the Riemann curvature tensor and £ξ denotes the Lie derivative. The investigation of this symmetry property of space-time is strongly motivated by the all-important role of the ...
Gerald H. Katzin +2 more
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CURVATURE COLLINEATIONS OF SOME PLANE SYMMETRIC STATIC SPACETIMES
Mathematical Physics, 2005 Ashfaque H. Bokhari +2 more
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