Results 71 to 80 of about 190,240 (109)
Curvature and Weyl collineations of Bianchi type V spacetimes [PDF]
Journal of Geometry and Physics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yusuf Kucukakca, Uğur Camcı, I Hussain
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Curvature collineations for type-N Robinson-Trautman space-times [PDF]
General Relativity and Gravitation, 1983 The metric of type-N Robinson-Trautman space-times is generated by a real functionP satisfying certain field equations. Canonical forms forP are obtained under the assumption that at least one curvature collineation exists. In order to give an example of the improper subgroup structure of a group of curvature collineations all the curvature ...
C D Collinson
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Curvature collineations in general relativity. II
Journal of Mathematical Physics, 1991This 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 AND WEYL COLLINEATIONS OF SPACETIMES [PDF]
The Twelfth Marcel Grossmann Meeting, 2012 Lie symmetries of various geometrical and physical quantities in general relativity play an important role in understanding the curvature structure of manifolds. The Riemann curvature and Weyl tensors are two fourth-rank tensors in the theory. Interrelations between the symmetries of these two tensors (known as collineations) are studied.
Khalid Saifullah
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Curvature collineations and the determination of the metric from the curvature in general relativity
General Relativity and Gravitation, 1983It 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, 1970It 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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Curvature Collineations for Gravitational pp Waves
Journal of Mathematical Physics, 1970Vacuum 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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Perfect fluid spacetimes admitting curvature collineations
General Relativity and Gravitation, 1991This 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
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