A note on Classification of Proper Teleparallel Homothetic Vector Field in Spherically Symmetric Static Space-times in the Teleparallel Theory of Gravitation using Diagonal Tetrads

Shahani, Masoom Ali

doi:10.1007/s10773-015-2532-3

Cited by 4 publications

(10 citation statements)

References 19 publications

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“…My aim is to examine the effects of the spacetime generated by a static charged black hole on the aforementioned congruence by means of the generalized values in Eqs. (20) and (21). These generalized components, because of their dependence on the electromagnetic energy-momentum tensor, would therefore show the effect of the black hole's charge on the congruence, despite its electrical neutrality.…”

Section: The Homothetic Congruences In the Gravitational Field Ofmentioning

confidence: 99%

“…Note that, since I have generically replaced the energymomentum tensor with its field equation correspondent (what I did in obtaining Eqs. (20)), instead of relying on the above electromagnetic energy-momentum tensor, the only thing we need is the solution to the field equations for a particular charged source, in the context of the chosen theory of gravity.…”

Section: The Homothetic Congruences In the Gravitational Field Ofmentioning

confidence: 99%

“…We therefore possess a congruence of non-geodesic charged particles, for which, applying Eqs. (20) in the general relativistic limit, yields…”

Section: A the General Relativistic Limitmentioning

confidence: 99%

“…in which ψ = M r − Q 2 is a scalar of dimensions of m 2 . Equations (20) and (21), provide us with the congruence energy and the expansion as…”

Section: The U1 Congruencementioning

confidence: 99%

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Homothetic congruences in general relativity

Fathi

2019

Mod. Phys. Lett. A

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The kinematical characteristics of distinct infalling homothetic fields are discussed by specifying the transverse subspace of their generated congruences to the energy-momentum deposit of the chosen gravitational system. This is pursued through the inclusion of the base manifold's cotangent bundle in a generalized Raychaudhuri equation and its kinematical expressions. Exploiting an electromagnetic energy-momentum tensor as the source of non-gravitational effects, I investigate the evolution of the mentioned homothetic congruences, as they fall onto a Reissner-Nordström black hole. The results show remarkable differences to the common expectations from infalling congruences of massive particles.

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Section: The Homothetic Congruences In the Gravitational Field Ofmentioning

confidence: 99%

Section: The Homothetic Congruences In the Gravitational Field Ofmentioning

confidence: 99%

“…We therefore possess a congruence of non-geodesic charged particles, for which, applying Eqs. (20) in the general relativistic limit, yields…”

Section: A the General Relativistic Limitmentioning

confidence: 99%

“…in which ψ = M r − Q 2 is a scalar of dimensions of m 2 . Equations (20) and (21), provide us with the congruence energy and the expansion as…”

Section: The U1 Congruencementioning

confidence: 99%

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Homothetic congruences in general relativity

Fathi

2019

Mod. Phys. Lett. A

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“…From the above study they showed that some time teleparallel theory gives more conservation laws as compared with the theory of general relativity. In [14][15][16][17] the authors extended this work for proper teleparallel homothetic vector fields and they classified different space-times according to their proper teleparallel homothetic vector fields.…”

Section: Introductionmentioning

confidence: 99%

Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads

2020

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We study proper teleparallel conformal vector fields in spherically symmetric static spacetimes. The main objective of this paper is to present the classification for the above-mentioned spacetimes. The problem has been examined by two methods: direct integration technique and diagonal tetrads. We show that the spherically symmetric static spacetimes do not admit proper teleparallel conformal vector field, so are actually the teleparallel killing vector fields.

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Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads

Shahani¹,

Qureshi²,

Mahomed³

2017

Commun. Theor. Phys.

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In this paper we consider the most general form of non-static cylindrically symmetric space-times in order to study proper teleparallel homothetic vector fields using the direct integration technique and diagonal tetrads. This study also covers static cylindrically symmetric, Bianchi type I, non-static and static plane symmetric space-times as well. Here, we will only discuss the cases which do not fall in the category of static cylindrically symmetric, Bianchi type I, non-static and static plane symmetric space-times. From the above study we show that very special classes of the above space-times yield 6, 7 and 8 teleparallel homothetic vector fields with non-zero torsion.

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A note on Classification of Proper Teleparallel Homothetic Vector Field in Spherically Symmetric Static Space-times in the Teleparallel Theory of Gravitation using Diagonal Tetrads

Abstract: In this paper a classification of proper teleparallel homothetic vector field in spherically symmetric static space-times is given using the direct integration technique. From the above study we show that the above space-times do not admit proper teleparallel homothetic vector fields.

Cited by 4 publications

References 19 publications

Homothetic congruences in general relativity

Homothetic congruences in general relativity

Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads

Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads

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