On the Energy of Charged Black Holes in Generalized Dilaton-Axion Gravity

Radinschi, Irina; Rahaman, Farook; Ghosh, Ashish

doi:10.1007/s10773-010-0273-x

Cited by 26 publications

(14 citation statements)

References 93 publications

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“…In another, the symmetric pseudotensor of Landau-Lifshitz was used [30]. Some works calculated the total energy of certain anisotropic Bianchi models using different pseudotensors, leading to similar results [32,33,34]. More recently Faraoni and Cooperstock [35], in support of Cooperstock's proposal that gravitational energy vanishes in the vacuum, argued (with the aid of a nonminimally coupled scalar source) that the open, or critically open FLRW universes-as well as Bianchi models evolving into de Sitter spacetimes-also have zero total energy.…”

Section: Introductionmentioning

confidence: 99%

Energy of homogeneous cosmologies

Nester

Vargas

2008

Phys. Rev. D

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An energy for the homogeneous cosmological models is presented. More specifically, using an appropriate natural prescription, we find the energy within any region with any gravitational source for a large class of gravity theories-namely those with a tetrad description-for all 9 Bianchi types. Our energy is given by the value of the Hamiltonian with homogeneous boundary conditions; this value vanishes for all regions in all Bianchi class A models, and it does not vanish for any class B model. This is so not only for Einstein's general relativity but, moreover, for the whole 3-parameter class of tetrad-teleparallel theories. For the physically favored one parameter subclass, which includes the teleparallel equivalent of Einstein's theory as an important special case, the energy for all class B models is, contrary to expectation, negative.

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Section: Introductionmentioning

confidence: 99%

Energy of homogeneous cosmologies

Nester

Vargas

2008

Phys. Rev. D

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“…where the antisymmetric super-potential λ να μ is λ να μ = √ −g[g μβ,γ − g μγ ,β ]g νγ g αβ (18) and M 0 0 is the energy density and M 0 α are the momentum density components. Using the metric in (2), we have found the required components of λ να μ (18);…”

Section: Some Energy Momentum Distributions Of Textures In Grmentioning

confidence: 99%

“…Various authors have tried to purpose energy-momentum problem using the different metrics and different energy-momentum distributions and they obtained some interesting results in general relativity and teleparallel gravity [10,[13][14][15][16][17][18][19][20][21][22]. According to Xulu [23] Virbhadra and his collaborators have showed that different energy-momentum complexes give same and reasonable results for a given space-time [10,[24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Energy Momentum Distributions of Texture and Monopole Metrics in General Relativity

Aygün

2010

Int J Theor Phys

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The aim of this study is to investigate the energy-momentum distributions of texture and monopole topological defects metrics in general relativity (GR). For this aim Einstein, Bergmann-Thomson, Landau-Lifshitz (LL), Møller and Papapetrou energymomentum densities have been used in general relativity theory. We obtained that (i) for the texture metric only Einstein and Bergmann-Thomson energy densities give the same results but the others energy and momentum densities do not provide the same results in GR; (ii) for the monopole metric, while Einstein, Bergmann-Thomson and Papapetrou energy and momentum densities are giving the same energy-momentum results, Møller and Landau-Lifshitz densities do not give the same energy results with the other definitions in GR.

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“…12 Later, energy and momentum of various spacetimes were calculated using these prescriptions. [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] It was displayed that Einstein, Tolman and Landau-Lifshitz energy distributions of Kerr-Newman spacetime give the same results. 13,14 Therefore, it was proved that Einstein, Landau-Lifsitz, Papapetrou and Weinberg energy distributions for all Kerr-Schild class spacetimes have the same results.…”

Section: Introductionmentioning

confidence: 99%

Energy–momentum Distributions of Five-Dimensional Homogeneous-Anisotropic Universes

Dog̃ru

Baykal

Kıy

et al. 2012

Int. J. Mod. Phys. D

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In this study, it has been investigated whether the energy and momentum can be localizable for five-dimensional homogeneous and anisotropic universes. In this connection, energy and momentum of five-dimensional Bianchi type-I, type-III and type-V spacetimes have been calculated in the framework of general relativity (GR) and teleparallel gravity (TG). Einstein, Bergmann-Thomson, Landau-Lifshitz, Papapetrou, Tolman and Møller energy-momentum complexes have been used to obtain 1250078-1 Int. J. Mod. Phys. D 2012.21. Downloaded from www.worldscientific.com by UNIVERSITY OF MICHIGAN on 11/01/14. For personal use only. M. U. Dogru et al.these related quantities of given the spacetimes in GR, while Einstein, BergmannThomson, Landau-Lifshitz and Møller prescriptions have been used to obtain these related quantities of the spacetimes in TG. It has been found that all of the energy and momentum distributions of five-dimensional Bianchi type-I spacetime are equal to zero in GR and TG. For five-dimensional Bianchi type-III and type-V spacetimes, Bergmann-Thomson, Einstein and Tolman energy and momentum components give the same results, however Møller, Landau-Lifshitz and Papapetrou energy-momentum distributions give different results in general relativity. Also, in TG, Bergmann-Thomson and Einstein energy and momentum components give the same results for the Bianchi type-III and type-V spacetimes, too. In this sense, it is seen that Einstein, BergmannThomson and Landau-Lifshitz energy and momentum descriptions of these spacetimes have been given same results in both theories, GR and TG.

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On the Energy of Charged Black Holes in Generalized Dilaton-Axion Gravity

Cited by 26 publications

References 93 publications

Energy of homogeneous cosmologies

Energy of homogeneous cosmologies

Energy Momentum Distributions of Texture and Monopole Metrics in General Relativity

Energy–momentum Distributions of Five-Dimensional Homogeneous-Anisotropic Universes

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