<i>BF</i>
                    gravity

Celada, Mariano; González, Diego López; Montesinos, Merced

doi:10.1088/0264-9381/33/21/213001

Cited by 52 publications

(55 citation statements)

References 152 publications

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“…As a result, the integrand in the action (14) can be rewritten as a Chern-Simons form for the enlarged connection [4,5], which is an archetypal gauge theory. Consequently, three-dimensional general relativity is a gauge theory of gravity (it can also be interpreted as a topological BF theory; see [21]). It is worth pointing out that the relations (12a)-(12b) also hold in three dimensions (see for instance [20]), being the exchange of diffeomorphisms for an internal gauge symmetry what allows three-dimensional general relativity to be expressed as a true gauge theory.…”

Section: Internal Gauge Symmetries Of the N-dimensional Palatini Actionmentioning

confidence: 99%

Reformulation of the symmetries of first-order general relativity

Montesinos

González

Celada

et al. 2017

Class. Quantum Grav.

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Abstract.We report a new internal gauge symmetry of the n-dimensional Palatini action with cosmological term (n > 3) that is the generalization of three-dimensional local translations. This symmetry is obtained through the direct application of the converse of Noether's second theorem on the theory under consideration. We show that diffeomorphisms can be expressed as linear combinations of it and local Lorentz transformations with field-dependent parameters up to terms involving the variational derivatives of the action. As a result, the new internal symmetry together with local Lorentz transformations can be adopted as the fundamental gauge symmetries of general relativity. Although their gauge algebra is open in general, it allows us to recover, without resorting to the equations of motion, the very well-known Lie algebra satisfied by translations and Lorentz transformations in three dimensions. We also report the analog of the new gauge symmetry for the Holst action with cosmological term, finding that it explicitly depends on the Immirzi parameter. The same result concerning its relation to diffeomorphisms and the open character of the gauge algebra also hold in this case. Finally, we consider the non-minimal coupling of a scalar field to gravity in n dimensions and establish that the new gauge symmetry is affected by this matter field. Our results indicate that general relativity in dimension greater than three can be thought of as a gauge theory.

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Section: Internal Gauge Symmetries Of the N-dimensional Palatini Actionmentioning

confidence: 99%

Reformulation of the symmetries of first-order general relativity

Montesinos

González

Celada

et al. 2017

Class. Quantum Grav.

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“…The BF -term incorporates a topological coupling to the metric dynamics via the gauge fields. For a detailed study on BF -gravity see refs [21][22][23]. A consistent truncation of the generic action (2.12) yields a topologically coupled Einstein-Maxwell theory.…”

Section: Dipole Correction To Grmentioning

confidence: 99%

Aspects of gravitational wave/particle duality: Bulk torsion ↔boundary gravity correspondence

Gupta

Kar

Nitish

2020

Int. J. Mod. Phys. D

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“…As it is well known, they are non-metric field theories and have no local degrees of freedom (see for instance [1,2,7,13,14]). BF theories have a strong relationship with Einstein's theory of General Relativity since it is possible to write the latter as a constrained BF theory giving rise to the so-called BF gravity models (see [6], and references therein, for details), which are based on the Plebanski formulation of General Relativity developed in [4]. Thus, BF theories are very interesting from the physical point of view and have been widely explored from different prespectives and approaches at classical and quantum level, as we can found in the literature (see for instance [1,2,6,8,9,12]).…”

Section: Non-abelian Topological Bf Theorymentioning

confidence: 99%

“…As it is well known, these kind of field theories have a strong relationship with Einstein theory of General Relativity since, following the work developed by Plebanski [4], it is possible to write General Relativity as a constrained BF theory. This relation gives rise to the so-called BF gravity models [5,6]. Recently, BF theories have been exhaustively explored in the literature from different perspectives and approaches at both the classical and the quantum levels [1][2][3][7][8][9][10][11][12], mainly due to the features that distinguish these topological field theories which provide an extended framework to explore different aspects of gauge theories.…”

Section: Introductionmentioning

confidence: 99%

Covariant momentum map for non-Abelian topological BF field theory

Molgado

Rodríguez–López

2019

Class. Quantum Grav.

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We analyze the inherent symmetries associated to the non-Abelian topological BF theory from the geometric and covariant perspectives of the Lagrangian and the multisymplectic formalisms. At the Lagrangian level, we classify the symmetries of the theory as natural and Noether symmetries and construct the associated Noether currents, while at the multisymplectic level the symmetries of the theory arise as covariant canonical transformations. These transformations allowed us to build within the multisymplectic approach, in a complete covariant way, the momentum maps which are analogous to the conserved Noether currents. The covariant momentum maps are fundamental to recover, after the space plus time decomposition of the background manifold, not only the extended Hamiltonian of the BF theory but also the generators of the gauge transformations which arise in the instantaneous Dirac-Hamiltonian analysis of the first-class constraint structure that characterizes the BF model under study. To the best of our knowledge, this is the first non-trivial physical model associated to General Relativity for which both natural and Noether symmetries have been analyzed at the multisymplectic level. Our study shed some light on the understanding of the manner in which the generators of gauge transformations may be recovered from the multisymplectic formalism for field theory.

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BF gravity

Cited by 52 publications

References 152 publications

Reformulation of the symmetries of first-order general relativity

Reformulation of the symmetries of first-order general relativity

Aspects of gravitational wave/particle duality: Bulk torsion ↔boundary gravity correspondence

Covariant momentum map for non-Abelian topological BF field theory

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