Results 51 to 60 of about 103 (82)

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.
Hall, G. S., MacNay, Lucy
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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.
Jaume Carot, Carot J
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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.
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 Bokhari, Asghar Qadir, Bokhari Ashfaque H   +2 more
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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.
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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.
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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 Bokhari, Bokhari Ashfaque H
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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 Bokhari, Asghar Qadir, Bokhari Ashfaque H   +2 more
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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.
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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 Bokhari, Asghar Qadir, Bokhari Ashfaque H   +2 more
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