Results 71 to 80 of about 567 (106)

Curvature collineations in general relativity. II

Journal of Mathematical Physics, 1991
This paper is the second of a set of two papers on curvature collineations in general relativity. The first paper presented the mathematical basis of curvature collineations and a possible approach to their study. This paper continues from the first one by investigating in detail many of the cases where curvature collineations can occur in space-time ...
G S Hall
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Curvature collineations and the determination of the metric from the curvature in general relativity

General Relativity and Gravitation, 1983
It is shown that for a very general class of space-times, the componentsR of the curvature tensor determine the metric components up to a constant conformal factor.
G S Hall
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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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Collineations of the curvature tensor in general relativity

Pramana - Journal of Physics, 2005
Curvature collineations for the curvature tensor, constructed from a fundamental Bianchi Type-V metric, are studied. We are concerned with a symmetry property of space-time which is called curvature collineation, and we briefly discuss the physical and kinematical properties of the models.
Rishi Kumar Tiwari
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Curvature Collineations for Gravitational pp Waves

Journal of Mathematical Physics, 1970
Vacuum fields which admit a covariant constant vector are investigated in order to find ``curvature collineations,'' i.e., £Rklji=0. For all discussed types of pp waves it is shown that proper curvature collineations exist. We state the explicit form of these transformations.
P C Aichelburg
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A note on curvature collineations in spacetimes

Classical and Quantum Gravity, 2005
Summary: An example of a spacetime is given in which the Lie algebra of curvature collineations, although finite-dimensional, is distinct from the affine algebra.
G S Hall
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Perfect fluid spacetimes admitting curvature collineations

General Relativity and Gravitation, 1991
This paper discusses curvature collineations in perfect fluid spacetimes within Einstein's general relativity. Using as starting point the papers of the reviewer [Gen. Relativ. Gravitation 15, 581-589 (1983; Zbl 0514.53018)] and the reviewer are and the second author [J. Math. Phys. 32, No.
J Carot
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Curvature collineations in conformally flat spacetimes

Classical and Quantum Gravity, 2001
Summary: A study of curvature collineations in conformally flat spacetimes is given. It is shown that the only possibilities are (special cases of the) FRW metrics (and their spacelike equivalents), the Bertotti-Robinson metrics and null fluid metrics.
G S Hall, Ghulam Shabbir
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A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics

General Relativity and Gravitation, 2003
The authors study some properties of the infinitesimal curvature and Ricci collineations of a cylindrically symmetric static metric. They obtain a complete list of cylindrically symmetric static metrics by their curvature collineations. They show that there are curvature collineations that are distinct from the set of isometries and of Ricci ...
Ashfaque H Bokhari, Asghar Qadir
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Curvature collineations of some static spherically symmetric space–times

Journal of Mathematical Physics, 1996
Curvature collineations of some static spherically symmetric space–times are derived and compared with isometries and Ricci collineations for corresponding space–times.
Ashfaque H Bokhari
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