Born–Infeld extension of new massive gravity

Güllü, İbrahim; Şişman, Tahsin Çağrı; Tekin, Bayram

doi:10.1088/0264-9381/27/16/162001

Cited by 117 publications

(38 citation statements)

References 21 publications

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“…The equation of motion for q μν is given symbolically This is a quadratic equation for the tensor q μν . Together, these two additional degrees of freedom give the cubic curvature [447] and Born-Infeld extension NMG [279]. Although additional higher derivative corrections have been proposed based on consistency with the holographic c -theorem [424], the above connection suggests that Eq.…”

Section: New Massive Gravitymentioning

confidence: 99%

Massive Gravity

Rham

2014

Living Rev. Relativ.

1,034

1,062

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We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model (DGP), cascading gravity, and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally, we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.

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Section: New Massive Gravitymentioning

confidence: 99%

Massive Gravity

Rham

2014

Living Rev. Relativ.

1,034

1,062

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“…Finally, let us construct the Weyl-invariant version of the Born-Infeld extension of NMG [10], whose action reads…”

Section: Weyl-invariant Einstein-gauss-bonnet and Born-infeld Thementioning

confidence: 99%

“…Specifically, for 2 þ 1 dimensions, the Weyl-invariant GB combination reduces just to a Maxwell term (with a compensating scalar field), which is interesting since the non-Weyl-invariant GB combination identically vanishes in this dimension. We also give the Weyl-invariant versions of the BornInfeld-NMG (BINMG) action [10] which was constructed to reproduce NMG at the quadratic expansion in curvature and the theory found in [11] using the existence of holographic c functions, at the cubic and quartic expansions in curvature.…”

Section: Introductionmentioning

confidence: 99%

Higgs mechanism for new massive gravity and Weyl-invariant extensions of higher-derivative theories

Dengiz

Tekin

2011

Phys. Rev. D

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New massive gravity provides a nonlinear extension of the Fierz-Pauli mass for gravitons in 2 þ 1 dimensions. Here we construct a Weyl-invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two-loop level, break the Weyl symmetry à la Coleman-Weinberg mechanism. We also construct the Weyl-invariant extensions of some other higher-derivative models, such as the Gauss-Bonnet theory (which reduces to the Maxwell theory in three dimensions) and the Born-Infeld type gravities.

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“…The higher-dimensional cosmology in the Weyl invariant DBI gravity is worth studying because of its rich content. Incidentally, DBI gravity in three dimensions is eagerly studied [54][55][56][57], which is related to New Massive Gravity [58,59]. We think that the Weyl invariant extension of the lower-dimensional theory is also of much mathematical interest.…”

Section: Discussionmentioning

confidence: 99%

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

Maki¹,

Kan²,

Shiraishi³

2012

JMP

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Weyl invariant gravity has been investigated as the fundamental theory of the vector inflation. Accordingly, we consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. We find that an appropriate choice of the metric removes the scalar degree of freedom which is at the first sight required by the local scale invariance of the action, and then a vector field acquires mass. Then non-minimal couplings of the vector field and curvatures are induced. We find that the Dirac-Born-Infeld type gravity is a suitable theory to the vector inflation scenario.

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Born–Infeld extension of new massive gravity

Cited by 117 publications

References 21 publications

Massive Gravity

Massive Gravity

Higgs mechanism for new massive gravity and Weyl-invariant extensions of higher-derivative theories

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

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