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Related papers: c-functions in the Born-Infeld extended New Massiv…

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We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

High Energy Physics - Theory · Physics 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

Conformal Gravity (CG) is a Weyl--invariant metric theory whose action is free from divergences for generic asymptotically anti-de Sitter spaces. For Neumann boundary conditions, it reduces to renormalized Einstein--AdS gravity at tree…

High Energy Physics - Theory · Physics 2025-08-18 Giorgos Anastasiou , Martin Bravo , Rodrigo Olea

We propose the 4D, N=1 supergravitational analogues (avatars) of the 4D, N=1 supersymmetric Born-Infeld action in four dimensions for the first time, by using superspace. In particular, a new Born-Infeld type generalization of the Weyl…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei V. Ketov

In this work we propose a new 2+1 theory of gravity. We start with a modification of Chern-Simons 2+1 gravity. By introducing a vector field $\Phi$ to the usual composition of the vierbein and connection, we derive a new action that…

High Energy Physics - Theory · Physics 2025-03-10 J. Chagoya , M. Sabido , A. Silva-García

We investigate the modified $F(R)$ gravity theory with the function $F(R) = (1-\sqrt{1-2\lambda R-\sigma (\lambda R)^2})/\lambda$. The action is converted into Einstein$-$Hilbert action at small values of $\lambda$ and $\sigma$. The local…

General Relativity and Quantum Cosmology · Physics 2016-03-23 S. I. Kruglov

In this paper we study non-commutative Yang-Mills theory (NCYM) through its gravity dual. First it is shown that the gravity dual of an NCYM with self-dual $\theta$-parameters has a Lagrangian in the form of five-dimensional dilatonic…

High Energy Physics - Theory · Physics 2011-07-19 Feng-Li Lin , Yong-Shi Wu

We construct a Weyl-invariant extension of topologically massive gravity which, remarkably, turns out to include topologically massive electrodynamics, with a Proca mass term, conformally coupled to a scalar field. The action has no…

High Energy Physics - Theory · Physics 2012-11-08 Suat Dengiz , Ercan Kilicarslan , Bayram Tekin

We found Bogomol'nyi type of the first order differential equations in three dimensional Einstein gravity and the effective second order ones in new massive gravity when an interacting scalar field is minimally coupled. Using these…

High Energy Physics - Theory · Physics 2013-04-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We present a new exact black hole solution in three dimensional Einstein gravity coupled to a single scalar field. This is one of the extended solutions of the BTZ black hole and has in fact $\textrm{AdS}_3$ geometries both at the spatial…

High Energy Physics - Theory · Physics 2009-02-12 K. Hotta , Y. Hyakutake , T. Kubota , T. Nishinaka , H. Tanida

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

High Energy Physics - Theory · Physics 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We study a Born-Infeld inspired model of gravity and electromagnetism in which both types of fields are treated on an equal footing via a determinantal approach in a metric-affine formulation. Though this formulation is a priori in conflict…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Victor I. Afonso , Cecilia Bejarano , Rafael Ferraro , Gonzalo J. Olmo

We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant…

High Energy Physics - Theory · Physics 2009-07-09 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We provide a simple derivation of the equivalence between Einstein and Conformal Gravity (CG) with Neumann boundary conditions given by Maldacena. As Einstein spacetimes are Bach flat, a generic solution to CG would contain both Einstein…

High Energy Physics - Theory · Physics 2016-11-02 Giorgos Anastasiou , Rodrigo Olea

In this paper we investigate the behavior of linearized gravitational excitation in the Born-Infeld Gravity in $AdS_3$ space. We obtain the linearized equation of motion and show that this higher order gravity propagate two gravitons,…

High Energy Physics - Theory · Physics 2015-06-19 M. R. Setare , M. Sahraee

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

High Energy Physics - Theory · Physics 2011-02-04 Robert C. Myers , Aninda Sinha

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum. Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter…

High Energy Physics - Theory · Physics 2018-01-17 Nima Afkhami-Jeddi , Thomas Hartman , Sandipan Kundu , Amirhossein Tajdini

We study the asymptotic symmetries of Einstein gravity in flat space. Instead of Bondi gauge, we work with the recently introduced special double null gauge, in which $\mathscr{I}^{+}$ and $\mathscr{I}^{-}$ are approached along null…

High Energy Physics - Theory · Physics 2022-08-01 Chethan Krishnan , Jude Pereira

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical…

High Energy Physics - Theory · Physics 2010-05-12 Daniel Grumiller , Niklas Johansson

Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological…

High Energy Physics - Theory · Physics 2012-10-02 H. Lu , Yi Pang , C. N. Pope