Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

Aygün, Sezgin; Tarhan, İsmail; Baysal, Hüsnü

doi:10.1007/s10509-008-9773-z

Cited by 10 publications

(8 citation statements)

References 61 publications

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“…Also, they have shown that both the general relativity and the teleparallel gravity are equivalent [56]. Similar results have also been obtained by Aygün and coworkers in [57,58] where the authors have concluded that energy-momentum definitions are identical not only in general relavity but also in teleparallel gravity.…”

supporting

confidence: 76%

Energy and Momentum of Bianchi TypeVIhUniverses

Tripathy

Mishra

Pandey

et al. 2015

Advances in High Energy Physics

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We obtain the energy and momentum of the Bianchi type VI ℎ universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the Bianchi VI ℎ universes are found to be zero for the parameter ℎ = −1 of the metric. The vanishing of these results supports the conjecture of Tryon that the universe must have a zero net value for all conserved quantities. This also supports the work of Nathan Rosen with the Robertson-Walker metric. Moreover, it raises an interesting question: "Why is the ℎ = −1 case so special?"

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supporting

confidence: 76%

Energy and Momentum of Bianchi TypeVIhUniverses

Tripathy

Mishra

Pandey

et al. 2015

Advances in High Energy Physics

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“…which also may be obtained from (54) by taking γ → ∞. Now, this final relation (60) may be compared with its Kerr-type "isotropic" analogue following directly from (56) by applying (13). Some results of this comparison of vacuum and antiscalar Lense-Thirring effects in strong-field regime (small r) are represented in Fig.…”

Section: Rotating Mass In the Antiscalar Backgroundmentioning

confidence: 99%

Simpler than vacuum: Antiscalar alternatives to black holes

Makukov

Mychelkin

2018

Phys. Rev. D

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The Janis-Newman-Winicour and Papapetrou metrics represent counterparts to the Schwarzschild black hole with scalar and antiscalar background fields, correspondingly (where "anti" is to be understood as in "anti-de Sitter"). There is also a scalar counterpart (the Krori-Bhattacharjee metric) to the Kerr black hole. Here we study analytical connections between these solutions and obtain the exact rotational generalization of the antiscalar Papapetrou spacetime as a viable alternative to the Kerr black hole. The antiscalar metrics appear to be the simplest ones as they do not reveal event horizons and ergospheres, and they do not involve an extra parameter for scalar charge. Static antiscalar field is thermodynamically stable and self-consistent, but this is not the case for the scalar Janis-Newman-Winicour solution; besides, antiscalar thermodynamics is reducible to black-hole thermodynamics. Lensing, geodetic and Lense-Thirring effects are found to be practically indistinguishable between antiscalar and vacuum solutions in weak fields. Only strongfield observations might provide a test for the existence of antiscalar background. In particular, the antiscalar solution predicts 5% larger shadows of supermassive compact objects, as compared to the vacuum solution. Another measurable aspect is the 6.92% difference in the frequency of the innermost stable circular orbit, characterizing the upper cut-off in the gravitational wave spectrum.

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“…The issue of energy localization has also been considered in the framework of teleparallel gravity [44][45][46][47][48][49]. It has been concluded in some recent works that the energy-momentum definitions are identical not only in GR but also in teleparallel gravity [48,50,51].…”

Section: Introductionmentioning

confidence: 99%

Tryon’s Conjecture and Energy and Momentum of Bianchi Type Universes

Mishra

Panda

Pattanayak

et al. 2016

Advances in High Energy Physics

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The energy and momentum of some diagonal anisotropic Bianchi type Universes are obtained using different energy-momentum complexes in the framework of General Relativity. The Møller energy is found to be zero for all the Universes considered in the present work. In all other prescriptions, the energy and momentum vanish when the sum of the metric parametersαandβvanishes. This result obviously raises a question: why this specific choice? We have explored Tryon’s conjecture that the Universe must have a zero net value for all conserved quantities to get some ideas on this issue.

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Scalar field theory and energy-momentum problem of Yilmaz-Rosen metric in general relativity and teleparallel gravity

Cited by 10 publications

References 61 publications

Energy and Momentum of Bianchi TypeVIhUniverses

Energy and Momentum of Bianchi TypeVIhUniverses

Simpler than vacuum: Antiscalar alternatives to black holes

Tryon’s Conjecture and Energy and Momentum of Bianchi Type Universes

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