Energy-momentum problem of Bell-Szekeres metric in general relativity and teleparallel gravity

Sharif, M.; Nazir, Kanwal

doi:10.1590/s0103-97332008000100028

Cited by 13 publications

(11 citation statements)

References 36 publications

(44 reference statements)

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“…Using the TP version of Einstein and Landau-Lifshitz prescriptions, Vargas showed that total energy of the closed FriedmannRobertson-Walker (FRW) universe is zero, which agrees with the results obtained by Rosen [30]. After this, many authors [31] explored the energy-momentum distribution of different spacetimes by using the TP version of the above mentioned prescriptions. It is found that the results are the same in both of the theories for some spacetimes while they disagree in other cases.…”

Section: Introductionsupporting

confidence: 69%

Teleparallel version of the Levi–Civita vacuum solutions and their energy contents

Sharif¹,

Amir²

2008

Can. J. Phys.

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In this paper, we find the teleparallel version of the Levi-Civita metric and obtain tetrad and the torsion fields. The tensor, vector, and the axial-vector parts of the torsion tensor are evaluated. It is found that the vector part lies along the radial direction only while the axial-vector vanishes everywhere because the metric is diagonal. Further, we use the teleparallel version of Möller, Einstein, Landau-Lifshitz, and Bergmann-Thomson prescriptions to find the energy-momentum distribution of this metric and compare the results with those already found in General Relativity (GR). It is worth mentioning here that momentum is constant in both of the theories for all the prescriptions. The energy in teleparallel theory is equal to the corresponding energy in GR only in the Möller prescription for the remaining prescriptions, the energy does not agree in both theories. We also conclude that Möller's energy-momentum distribution is independent of the coupling constant λ in the teleparallel theory. PACS Nos.: 04.20.−q, 04.20.Cv Résumé : Nous trouvons ici la version téléparallèle de la métrique de Lévi-Civita et obtenons les champs de tétrade et de torsion. Nous évaluons les parties tensorielle, vectorielle et axiale du tenseur de torsion. Nous trouvons que la partie vectorielle n'existe que dans la direction radiale, alors que la partie axiale est nulle parce que la métrique est diagonale. De plus, nous utilisons la version téléparallèle dans les prescriptions de Möller, d'Einstein, de Landau-Lifshitz et de Bergmann-Thomson pour trouver la distribution d'énergie-impulsion de cette métrique et nous comparons avec les résultats déjà obtenus en Relativité Générale (RG). Il faut mentionner que l'impulsion est conservée dans les deux théories et toutes les prescriptions. L'énergie en théorie téléparallèle n'est égale à l'énergie en RG que pour la prescription de Möller, alors qu'elle diffère pour les autres. Nous observons également que la distribution en énergie-impulsion de Möller est indépendante de la constante de couplage λ dans la théorie téléparallèle.[Traduit par la Rédaction]

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Section: Introductionsupporting

confidence: 69%

Teleparallel version of the Levi–Civita vacuum solutions and their energy contents

Sharif¹,

Amir²

2008

Can. J. Phys.

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“…, v = t+z 2 [44], the spacetimes in these four regions can be written as Region(I) (t < z, t < −z) :…”

Section: Exact and Approximate Symmetries Of The Colliding Plane Elecmentioning

confidence: 99%

Energy Content of Colliding Plane Waves Using Approximate Noether Symmetries

Sharif

Waheed

2012

Braz J Phys

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This paper is devoted to study the energy content of colliding plane waves using approximate Noether symmetries. For this purpose, we use approximate Lie symmetry method of Lagrangian for differential equations. We formulate the first-order perturbed Lagrangian for colliding plane electromagnetic and gravitational waves. It is shown that in both cases, there does not exist non-trivial first-order approximate symmetry generator.

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“…Further, Sharif and Amir (2007, 2008a, 2008b found inconsistent results with GR by using teleparallel analogs of different energy-momentum prescriptions for a given spacetime. Sharif and Nazir (2008) found that energymomentum turns out to be the same in TEGR and GR for Bell-Szekeres metric. Some people (de Andrade et al 2000;Obukhov and Pereira 2003;Obukhov et al 2006;Lucas et al 2009) proposed a new concept in this regard: "Lagrangian framework in TEGR".…”

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confidence: 90%

Energy contents of some rotating spacetimes in teleparallel gravity

Sharif

Jawad

2010

Astrophys Space Sci

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The present work is devoted to elaborate energymomentum problem using the integral form of the constraint equations in the Hamiltonian formulation of teleparallel equivalent to general relativity. This approach is used to evaluate energy and its related quantities for LewisPapapetrou spacetimes, spatially homogeneous rotating spacetimes and their special cases. The results of energy are compared with those already found using different prescriptions. We conclude that energy distribution for these spacetimes do not coincide in general with those already available in literature. We also evaluate gravitational and matter energy-momentum flux.

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Energy-momentum problem of Bell-Szekeres metric in general relativity and teleparallel gravity

Cited by 13 publications

References 36 publications

Teleparallel version of the Levi–Civita vacuum solutions and their energy contents

Teleparallel version of the Levi–Civita vacuum solutions and their energy contents

Energy Content of Colliding Plane Waves Using Approximate Noether Symmetries

Energy contents of some rotating spacetimes in teleparallel gravity

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