Generalized Einstein gravities and generalized AdS symmetries

Cárdenas, L.; Díaz, Juan Pablo; Salgado, P.; D., Salgado,

doi:10.1016/j.nuclphysb.2022.115943

Cited by 4 publications

(2 citation statements)

References 28 publications

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“…Their construction of the action involves bilinear invariant curvature 2-forms and their action is not invariant under local Maxwell transformations but only under local Lorentz transformations. The action respecting the local Maxwell symmetry invariance is given in [44]. They also considered bilinear invariant curvature 2-forms associated with Ad SL 4valued 1-form gauge connection, and then constructed a four-dimensional action that generalizes the Einstein gravity.…”

Section: Maxwell Extension Of Einstein Gravitymentioning

confidence: 99%

“…They also considered bilinear invariant curvature 2-forms associated with Ad SL 4valued 1-form gauge connection, and then constructed a four-dimensional action that generalizes the Einstein gravity. They showed that Maxwell Gravity can be obtained from Ad SL 4 -gravity by means of the Inönü-Wigner contraction method [44,45]. Both of these works make use of the bilinear invariant combination of curvature 2-forms in their actions.…”

Section: Maxwell Extension Of Einstein Gravitymentioning

confidence: 99%

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Maxwell extension of f(R) gravity

2023

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Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of f(R) gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dimensional f(R) gravity. This symmetry also allows the introduction of a non-vanishing torsion to the Maxwell f(R) theory. It is found that the antisymmetric gauge field $$B^{ab}$$ B ab associated with Maxwell extension is considered as a source of the torsion. It is also found that the gravitational equation of motion acquires a new term in the form of an energy–momentum tensor for the background field. The importance of these new equations is briefly discussed.

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Section: Maxwell Extension Of Einstein Gravitymentioning

confidence: 99%

Section: Maxwell Extension Of Einstein Gravitymentioning

confidence: 99%

Maxwell extension of f(R) gravity

2023

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Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity

Avilés,

Díaz,

Peñafiel

et al. 2024

J. High Energ. Phys.

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Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this paper it is shown that the actions for these four-dimensional extended Einstein gravities can be obtained from the five-dimensional Chern-Simons gravities actions by using the Randall-Sundrum compactification procedure. It is found that the Inönü-Wigner contraction procedure, in the Weimar-Woods sense, can be used both to obtain the Maxwell-Chern-Simons action from the AdS-Maxwell-Chern-Simons action and to obtain the Maxwell extension of Einstein gravity in 4D from the four-dimensional extended AdS-Maxwell-Einstein-Hilbert action. It is also shown that the extended four-dimensional gravities belongs to the Horndeski family of scalar-tensor theories.

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Three-dimensional hypergravity theories and semigroup expansion method

Caroca,

Concha,

Matulich

et al. 2023

J. High Energ. Phys.

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In this work, we apply the semigroup expansion method of Lie algebras to construct novel and known three-dimensional hypergravity theories. We show that the expansion procedure considered here yields a consistent way of coupling different three-dimensional Chern-Simons gravity theories with massless spin-$$ \frac{5}{2} $$ 5 2 gauge fields. First, by expanding the $$ \mathfrak{osp} $$ osp (1|4) superalgebra with a particular semigroup a generalized hyper-Poincaré algebra is found. Interestingly, the hyper-Poincaré and hyper-Maxwell algebras appear as subalgebras of this generalized hypersymmetry algebra. Then, we show that the generalized hyper-Poincaré CS gravity action can be written as a sum of diverse hypergravity CS Lagrangians. We extend our study to a generalized hyper-AdS gravity theory by considering a different semigroup. Both generalized hyperalgebras are then found to be related through an Inönü-Wigner contraction which can be seen as a generalization of the existing vanishing cosmological constant limit between the hyper-AdS and hyper-Poincaré gravity theories.

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Generalized Einstein gravities and generalized AdS symmetries

Cited by 4 publications

References 28 publications

Maxwell extension of f(R) gravity

Maxwell extension of f(R) gravity

Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity

Three-dimensional hypergravity theories and semigroup expansion method

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