An Extended New General Relativity as a Reduction of $\overline{\mbox{Poincar\'{e}}}$ Gauge Theory of Gravity

Kawai, T.; Toma, Naoki

doi:10.1143/ptp.85.901

Cited by 8 publications

(37 citation statements)

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“…Using our expressions for the conserved charges, we verified that this solution gives a vanishing correction to the GR results. This is in agreement with the results of Kawai and Toma [37], who studied the Noether charges in a non-standard formulation of the teleparallel theory, and concluded that all contributions stemming from A T ijk effectively vanish.…”

Section: B Angular Momentumsupporting

confidence: 92%

“…[41], with the same result as in GR. Kawai and Toma [37] studied Noether charges for both energy-momentum and angular momentum, in a non-standard formulation of the teleparallel theory, and found that these charges have the same form as in GR. Such a conclusion can be understood by noting that, effectively, they used specific boundary conditions corresponding to the Hayashi-Shirafuji solution [9], for which the conserved charges are indeed of the same form as in GR.…”

Section: Discussionmentioning

confidence: 99%

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Conservation laws in the teleparallel theory of gravity

Blagojević

Vasilić

2001

Phys. Rev. D

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We study the conservation laws associated with the asymptotic Poincaré symmetry of spacetime in the general teleparallel theory of gravity. Demanding that the canonical Poincaré generators have well defined functional derivatives in a properly defined phase space, we obtain the improved form of the generators, containing certain surface terms. These terms are shown to represent the values of the related conserved charges: energy-momentum and angular momentum.

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Section: B Angular Momentumsupporting

confidence: 92%

Section: Discussionmentioning

confidence: 99%

Conservation laws in the teleparallel theory of gravity

Blagojević

Vasilić

2001

Phys. Rev. D

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“…From that perspective the above expressions are those of the translational gauge current (the conserved current associated with spacetime translations according to Noether's first theorem, see, e.g., [18,39,40,41,42,47]). For the tetrad-teleparallel theories the canonically conjugate momentum field,…”

Section: B Tetrad-teleparallel Theorymentioning

confidence: 99%

“…Investigators [17,18,26,38,39,40,41,42,52,53] were led to only two [54] closely related quasi-local boundary term expressions for the energy-momentum within a volume V :…”

Section: A Tetrad-teleparallel Energy-momentummentioning

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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“…There are many theories [3] that are potential alternatives to GR, including the Poincaré gauge theory (PGT) [4] and extended new general relativity (ENGR) [5].…”

Section: Introductionmentioning

confidence: 99%

Energy-Momentum and Angular Momentum Carried by Gravitational Waves in Extended New General Relativity

Sakane

Kawai

2002

Progress of Theoretical Physics

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In an extended, new form of general relativity, which is a teleparallel theory of gravity, we examine the energy-momentum and angular momentum carried by gravitational wave radiated from Newtonian point masses in a weak-field approximation. The resulting wave form is identical to the corresponding wave form in general relativity, which is consistent with previous results in teleparallel theory. The expression for the dynamical energy-momentum density is identical to that for the canonical energy-momentum density in general relativity up to leading order terms on the boundary of a large sphere including the gravitational source, and the loss of dynamical energy-momentum, which is the generator of internal translations, is the same as that of the canonical energy-momentum in general relativity. Under certain asymptotic conditions for a non-dynamical Higgs-type field ψ k , the loss of "spin" angular momentum, which is the generator of internal SL(2, C) transformations, is the same as that of angular momentum in general relativity, and the losses of canonical energy-momentum and orbital angular momentum, which constitute the generator of Poincaré coordinate transformations, are vanishing. 1The results indicate that our definitions of the dynamical energy-momentum and angular momentum densities in this extended new general relativity work well for gravitational wave radiations, and the extended new general relativity accounts for the Hulse-Taylor measurement of the pulsar PSR1913+16.

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An Extended New General Relativity as a Reduction of $\overline{\mbox{Poincar\'{e}}}$ Gauge Theory of Gravity

Cited by 8 publications

References 0 publications

Conservation laws in the teleparallel theory of gravity

Conservation laws in the teleparallel theory of gravity

Energy of homogeneous cosmologies

Energy-Momentum and Angular Momentum Carried by Gravitational Waves in Extended New General Relativity

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