Results 71 to 80 of about 103 (82)

Proper curvature collineations in Bianchi type I space-times

Il Nuovo Cimento B, 2006
The author studies Bianchi type I space-times according to their proper curvature collineations (CCs). These curvature collineations are vector fields along which the Lie derivative of the Riemann tensor is zero. An approach is adopted connected with using the rank of the \(6\times6\) Riemann matrix, direct integration techniques, and also the theorem ...
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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, C B G McIntosh, E H Van Leeuwen   +2 more
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Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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 ...
Katzin, Gerald H., Levine, Jack, Davis, William R.   +2 more
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Proper Curvature Collineations of Plane Symmetric Static Spacetime in F(R) Theory of Gravity

SINDH UNIVERSITY RESEARCH JOURNAL -SCIENCE SERIES, 2018
The purpose of this paper is to study the proper curvature collineations of plane symmetric static spacetime in f(R) theory of gravity. We have taken the metrics of both constant and non-constant curvature and formulated the curvature vector fields by using vanishing Lie derivative and direct integration technique. Here, the solutions of the Einstein’s
M. RAMZAN, A. NAZIR, M. R. MUFTI
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On Curvature Collineation And Conformal Motion In A Finsler Space

International Journal of Scientific and Research Publications, 2023
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Projective curvature collineation and special projective motion in a Finsler space

2012
In this paper different properties of projective curvature collineations and projective motions in a Finsler space and the relation between them are studied.
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PROJECTIVE CURVATURE COLLINEATION IN FINSLER SPACES

Quaestiones Mathematicae, 1999
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CURVATURE COLLINEATIONS OF SOME PLANE SYMMETRIC STATIC SPACETIMES

Mathematical Physics, 2005
A. H. BOKHARI, A. R. KASHIF, A. QADIR
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On curvature collineations on simple conformally recurrent manifolds

Colloquium Mathematicum, 1989
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Curvature collineations in general relativity. I

Journal of Mathematical Physics, 1991
Hall G S
exaly