Ricci and matter collineations in space-time

Hall, Graham; Roy, I.; Vaz, Estelita

doi:10.1007/bf02106969

Cited by 58 publications

(88 citation statements)

References 15 publications

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“…While the Ricci tensor must also have a noninfinite determinant, it can be zero [11]. In recent paper's of Hall et al [13], they have noticed some important results the following.…”

Section: Some General Resultsmentioning

confidence: 98%

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Ricci Collineations of the Bianchi Types I and Iii, and Kantowski–sachs Spacetimes

Camcı

Baysal

Tarhan

et al. 2001

Int. J. Mod. Phys. D

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Ricci collineations of the Bianchi types I and III, and KantowskiSachs space-times are classified according to their Ricci collineation vector (RCV) field of the form (i)-(iv) one component of ξ a (x b ) is nonzero, (v)-(x) two components of ξ a (x b ) are nonzero, and (xi)-(xiv) three components of ξ a (x b ) are nonzero. Their relation with isometries of the space-times is established. In case (v), when det(R ab ) = 0, some metrics are found under the time transformation, in which some of these metrics are known, and the other ones new. Finally, the family of contracted Ricci collineations (CRC) are presented.

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“…While the Ricci tensor must also have a noninfinite determinant, it can be zero [11]. In recent paper's of Hall et al [13], they have noticed some important results the following.…”

Section: Some General Resultsmentioning

confidence: 98%

“…Amir et al [11] have investigated the relationship between the RCVs and the KVs for these spacetimes in detail. Carot et al [12] have studied matter collineations, as a symmetry property of the energy-momentum tensor Tab and also, Hall et al [13] have presented a discussion of Ricci and matter collineations in space-time.…”

Section: Introductionmentioning

confidence: 99%

Ricci Collineations of the Bianchi Types I and Iii, and Kantowski–sachs Spacetimes

Camcı

Baysal

Tarhan

et al. 2001

Int. J. Mod. Phys. D

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“…Therefore the study of RCs has a natural geometrical significance [18]. On the other hand, the energy-momentum tensor represents the external sources of gravity and its symmetries seem more relevant from the physical point of view.…”

Section: Sources With Non-noetherian Symmetriesmentioning

confidence: 99%

Construction of Sources for Majumdar-Papapetrou Spacetimes

Varela

2003

General Relativity and Gravitation

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We study Majumdar-Papapetrou solutions for the 3+1 Einstein-Maxwell equations, with charged dust acting as the external source for the fields. The spherically symmetric solution of Gürses is considered in detail. We introduce new parameters that simplify the construction of class C 1 , singularity-free geometries. The arising sources are bounded or unbounded, and the redshift of light signals allows an observer at spatial infinity to distinguish these cases. We find out an interesting affinity between the conformastatic metric and some homothetic, matter and Ricci collineations. The associated non-Noetherian symmetries provide us with distinctive solutions that can be used to construct non-singular sources for Majumdar-Papapetrou spacetimes.

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“…There is a growing interest in the study of MCs [1,[8][9][10][11] and references therein]. Carot, et al [8] have discussed MCs from the point of view of the Lie algebra of vector fields generating them and, in particular, he discussed spacetimes with a degenerate T ab .…”

Section: Introductionmentioning

confidence: 99%

Symmetries of Energy-Momentum Tensor: Some Basic Facts

Sharif

Ismaeel

2007

Commun. Theor. Phys.

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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 theThese alternative conditions are, of course, not generally equivalent. This problem has been explored by applying these three definitions to general static spherically symmetric spacetimes. We compare the results with each definition.

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Ricci and matter collineations in space-time

Cited by 58 publications

References 15 publications

Ricci Collineations of the Bianchi Types I and Iii, and Kantowski–sachs Spacetimes

Ricci Collineations of the Bianchi Types I and Iii, and Kantowski–sachs Spacetimes

Construction of Sources for Majumdar-Papapetrou Spacetimes

Symmetries of Energy-Momentum Tensor: Some Basic Facts

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