Electric field in 3D gravity with torsion

Blagojević, M.; Cvetković, B.

doi:10.1103/physrevd.78.044036

Cited by 14 publications

(27 citation statements)

References 38 publications

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“…Moreover, form (4.7) and (4.8), we deduce that we cannot have simultaneously two non-zero electric field components. This result is similar to the known no-go theorem of 3D GR-like gravity [69,70], which states that configurations with two non-vanishing components of the Maxwell field are dynamically not allowed. However, it is not valid anymore if we add the magnetic sector, as we will see in subsection 4.3 (it holds only for D=3).…”

Section: Jhep02(2013)039supporting

confidence: 85%

Exact charged black-hole solutions in D-dimensional f (T) gravity: torsion vs curvature analysis

Capozziello

González

Saridakis

et al. 2013

J. High Energ. Phys.

172

163

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We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f (T ) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants. Interestingly enough, we find that in some particular solution subclasses there appear more singularities in the curvature scalars than in the torsion ones. This difference disappears in the uncharged case, or in the case where f (T ) gravity becomes the usual linear-in-T teleparallel gravity, that is General Relativity. Curvature and torsion invariants behave very differently when matter fields are present, and thus f (R) gravity and f (T ) gravity exhibit different features and cannot be directly re-casted each other.

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Section: Jhep02(2013)039supporting

confidence: 85%

Exact charged black-hole solutions in D-dimensional f (T) gravity: torsion vs curvature analysis

Capozziello

González

Saridakis

et al. 2013

J. High Energ. Phys.

172

163

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show abstract

“…It is easy to see that the theory described by the above Lagrangian is not a torsion free one (for 3D gravities with torsion see [204][205][206]). If one eliminates the last two terms in the Lagrangian (657), one may interpret the obtained Lagrangian as a Lagrangian of the Mielke-Baekler model [207] non-minimally coupled to a scalar field.…”

Section: A Minimal Massive Gravity Coupled To a Scalar Fieldmentioning

confidence: 99%

Conserved charges in extended theories of gravity

et al. 2019

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We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the Killing charge method, and a proper discussion of the conserved charges of extended gravity theories with this method requires studying the corresponding charges in Einstein's theory with or without a cosmological constant. Hence we study the ADM charges (in the asymptotically flat case but in generic viable coordinates), the AD charges (in generic Einstein spaces, including the anti-de Sitter spacetimes) and the ADT charges in anti-de Sitter spacetimes. We also discuss the conformal properties and the behavior of these charges under large gauge transformations as well as the linearization instability issue which explains the vanishing charge problem for some particular extended theories. We devote a long discussion to the quasi-local and offshell generalization of conserved charges in the 2+1 dimensional Chern-Simons like theories and suggest their possible relevance to the entropy of black holes.

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“…It is easy to see that the theory described by the above Lagrangian is not a torsion-free one (for 3D gravity models with torsion refer to [47][48][49]). If the two last terms in the Lagrangian (14) are eliminated, the obtained Lagrangian can be interpreted as a Lagrangian of the Mielke-Baekler model [46], non-minimally coupled to a scalar field.…”

Section: Minimal Massive Gravity Coupled To a Scalar Fieldmentioning

confidence: 99%

Conserved charges of minimal massive gravity coupled to scalar field

Setare

Adami

2018

Eur. Phys. J. C

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Recently, the theory of topologically massive gravity non-minimally coupled to a scalar field has been proposed, which comes from the Lorentz-Chern-Simons theory (JHEP 06, 113, 2015), a torsion-free theory. We extend this theory by adding an extra term which makes the torsion to be non-zero. We show that the BTZ spacetime is a particular solution to this theory in the case where the scalar field is constant. The quasi-local conserved charge is defined by the concept of the generalized off-shell ADT current. Also a general formula is found for the entropy of the stationary black hole solution in context of the considered theory. The obtained formulas are applied to the BTZ black hole solution in order to obtain the energy, the angular momentum and the entropy of this solution. The central extension term, the central charges and the eigenvalues of the Virasoro algebra generators for the BTZ black hole solution are thus obtained. The energy and the angular momentum of the BTZ black hole using the eigenvalues of the Virasoro algebra generators are calculated. Also, using the Cardy formula, the entropy of the BTZ black hole is found. It is found that the results obtained in two different ways exactly match, just as expected.

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Electric field in 3D gravity with torsion

Cited by 14 publications

References 38 publications

Exact charged black-hole solutions in D-dimensional f (T) gravity: torsion vs curvature analysis

Exact charged black-hole solutions in D-dimensional f (T) gravity: torsion vs curvature analysis

Conserved charges in extended theories of gravity

Conserved charges of minimal massive gravity coupled to scalar field

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