Results 81 to 90 of about 190,240 (109)

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
exaly   +3 more sources

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 Hussain Bokhari, Asghar Qadir
exaly   +3 more sources

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
exaly   +2 more sources

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 Hussain Bokhari, Asghar Qadir
exaly   +2 more sources

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 Hussain Bokhari
exaly   +2 more sources

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.
exaly   +2 more sources

Curvature collineations in certain gravitational space-times

General Relativity and Gravitation, 1975
It has been shown that the space-times formed from the product of two surfaces and from a thick gravitational plane wave sandwiched between two flat spacetimes admit proper curvature collineation in general. The curvature collineation vectors have been determined explicitly.
Singh, K. P., Sharma, D. N.
openaire   +2 more sources

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.
exaly   +2 more sources

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 Hussain Bokhari, Asghar Qadir
exaly   +3 more sources

A note on classification of dust static plane symmetric space-times via proper curvature collineations in f(R) gravity

International Journal of Geometric Methods in Modern Physics, 2022
In this paper, we classify dust static plane symmetric (SPS) space-times via proper curvature collineations (CCs) in the [Formula: see text] gravity using the rank of [Formula: see text] Riemann matrix and direct integration technique. Classifying the above mentioned space-times, we find that there arise six cases corresponding to specific values of ...
Aasma Nazir, Ghulam Shabbir, Fiaz Hussain, S. Jamal, M. Ramzan   +4 more
openaire   +1 more source