Gauge symmetries of the teleparallel theory of gravity

Blagojević, M.; Vasilić, Milovan

doi:10.1088/0264-9381/17/18/313

Cited by 45 publications

(68 citation statements)

References 21 publications

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“…[16,17,27,28]: the Latin indices refer to the local Lorentz frame, the Greek indices refer to the coordinate frame; the first letters of both alphabets (a, b, c, . .…”

Section: Introductionmentioning

confidence: 99%

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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“…[16,17,27,28]: the Latin indices refer to the local Lorentz frame, the Greek indices refer to the coordinate frame; the first letters of both alphabets (a, b, c, . .…”

Section: Introductionmentioning

confidence: 99%

Conservation laws in the teleparallel theory of gravity

Blagojević

Vasilić

2001

Phys. Rev. D

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“…In the Hamiltonian formulation of the TEGR [3], [37]∼ [39] the momentum canonically conjugated to the tetrad components e aj is given by…”

Section: Energy Associated With the Axially Symmetric Solutionmentioning

confidence: 99%

Kerr–newman Solution and Energy in Teleparallel Equivalent of Einstein Theory

Nashed

2007

Mod. Phys. Lett. A

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An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters " the gravitational mass M, the charge parameter Q and the rotation parameter a" and its associated metric gives Kerr-Newman spacetime. The parallel vector field and the electromagnetic vector potential are axially symmetric. We then, calculate the total energy using the gravitational energy-momentum. The energy is found to be shared by its interior as well as exterior. Switching off the charge parameter we find that no energy is shared by the exterior of the Kerr-Newman black hole.1

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“…The global symmetry transformations of dynamical variables are obtained from their gauge transformations, derived in Ref. [16], by replacing the gauge parameters with the vacuum values (3.5). In this way we obtain…”

Section: B Symmetries Of the Ds Vacuummentioning

confidence: 99%

“…(2.3) of Ref. [16], are the symmetry transformations of TP Λ . Following the same procedure as described in Ref.…”

Section: Appendix A: On De Sitter Geometrymentioning

confidence: 99%

Conservation laws in the teleparallel theory with a positive cosmological constant

Blagojević

Vasilić

2002

Class. Quantum Grav.

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We study the conservation laws in the teleparallel theory with a positive cosmological constant, an extension of the teleparallel theory possessing solutions with de Sitter asymptotics. Demanding that the canonical generators of the asymptotic symmetry are well defined, we obtain their improved form, which defines the conserved charges of the theory. The physical interpretation of the results is discussed.

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Gauge symmetries of the teleparallel theory of gravity

Cited by 45 publications

References 21 publications

Conservation laws in the teleparallel theory of gravity

Conservation laws in the teleparallel theory of gravity

Kerr–newman Solution and Energy in Teleparallel Equivalent of Einstein Theory

Conservation laws in the teleparallel theory with a positive cosmological constant

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