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Weyl collineations that are not curvature collineations [PDF]
International Journal of Modern Physics D, 2008 Though the Weyl tensor is a linear combination of the curvature tensor, Ricci tensor and Ricci scalar, it does not have all and only the Lie symmetries of these tensors since it is possible, in principle, that "asymmetries cancel". Here we investigate if,
ASGHAR QADIR +11 more
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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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Proper Weyl Collineations in Kantowski-Sachs and Bianchi Type III Space-Times [PDF]
Modern Physics Letters A, 2006 A study of proper Weyl collineations in Kantowski-Sachs and Bianchi type III space-times is given by using the rank of the 6X6 Weyl matrix and direct integration techniques. Studying proper Weyl collineations in each of the above space-times, it is shown
ABU BAKAR MEHMOOD +9 more
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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 and Weyl collineations of Bianchi type V spacetimes
Journal of Geometry and Physics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ug̃Ur Camci, Yusuf Küçükakça
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A New Class of Contact Pseudo Framed Manifolds with Applications
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
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Symmetries of Bianchi I space-times [PDF]
, 2000 All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of ...
Belinski V. A. +19 more
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Ricci Collineations for type B warped space-times [PDF]
, 1997 We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics.
A. A. Coley +26 more
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Symmetries of the Energy-Momentum Tensor: Some Basic Facts [PDF]
, 2006 It has been pointed by Hall et al. [1] that matter collinations can be defined by using three different methods. But there arises the question of whether one studies matter collineations by using the ${\cal L}_\xi T_{ab}=0$, or ${\cal L}_\xi T^{ab}=0$ or
E. Noether +9 more
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Hypersurfaces in a conformally flat space with curvature collineation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non‐diagonalizable shape operators.
K. L. Duggal, R. Sharma
openaire +3 more sources