Results 101 to 110 of about 464 (128)

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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A note on proper curvature collineations of vacuum classes of plane fronted gravitational waves in f(R) theory of gravity

International Journal of Geometric Methods in Modern Physics
Proper curvature collineations (CCs) of plane-fronted gravitational waves (GWs) in [Formula: see text] gravity are addressed in this paper. We first think about vacuum classes of plane GWs and analyze their CCs using mathematical and integration methods, and we also use a [Formula: see text] Riemann curvature matrix.
Aasma Nazir, Ayesha Rafique, Nasir Kaleem Zafar, Hina Zulfiqar   +3 more
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Curvature collineations

General Relativity and Gravitation, 1972
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Projective planes of order 12 do not have a collineation group of order 4

Journal of Combinatorial Designs, 2023
Chihiro Suetake
exaly  

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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CURVATURE COLLINEATIONS OF SOME PLANE SYMMETRIC STATIC SPACETIMES

Mathematical Physics, 2005
A. H. BOKHARI, A. R. KASHIF, A. QADIR
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Curvature Collineations

2004
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Planes of ordern with collineation groups of ordern 2

Mathematische Zeitschrift, 1968
Peter Dembowski, T G Ostrom
exaly