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I review some interesting features of massive gravity in two maximally symmetric backgrounds: Anti de Sitter space and Minkowski space. While massive gravity in AdS can be seen as a spontaneously broken, UV safe theory, no such…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

A special class of higher curvature theories of gravity, Ricci Cubic Gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and…

High Energy Physics - Theory · Physics 2017-09-13 Ahmad Ghodsi , Farzaneh Najafi

The recent interest in modified theories of gravity, involving some type of non-minimal coupling to the Ricci scalar, and the calculation of cosmological observables in the Einstein or the Jordan frame, motivate the formulation of these…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Alexandros Karam , Angelos Lykkas , Kyriakos Tamvakis

We explore the supersymmetry invariance of a supergravity theory in the presence of a non-trivial boundary. The explicit construction of a bulk Lagrangian based on an enlarged superalgebra, known as $AdS$-Lorentz, is presented. Using a…

High Energy Physics - Theory · Physics 2016-09-08 P. K. Concha , M. C. Ipinza , L. Ravera , E. K. Rodríguez

A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a non trivial supersymmetric extension of the Poincar\'e group. In $2+1$ dimensions the gauge group…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maximo Banados , Ricardo Troncoso , Jorge Zanelli

Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime is unstable against the formation of black holes for a large class of arbitrarily small perturbations. We examine the effects of including a Gauss-Bonnet term. In…

High Energy Physics - Theory · Physics 2015-03-05 Nils Deppe , Allison Kolly , Andrew Frey , Gabor Kunstatter

In this paper, with an appropriate combination of three Liouville-type dilaton potentials, we obtain the higher dimensional charged slowly rotating dilaton black hole solution for asymptotically anti-de Sitter spacetime. The angular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Sheykhi , M. Allahverdizadeh

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the…

High Energy Physics - Theory · Physics 2008-11-26 Raman Sundrum

The standard geometric description of $d$-dimensional anti-de Sitter (AdS) space is a quadric in ${\mathbb R}^{d-1,2}$ defined by $(X^0)^2 - (X^1)^2 - \dots - (X^{d-1})^2 + (X^d)^2 = \ell^2 = \text{const}$. In this paper we provide a…

High Energy Physics - Theory · Physics 2025-03-05 Nowar E. Koning , Sergei M. Kuzenko

Black holes exert quantum pressure coming from the nonlocal gravity correction. We investigate this nonlocal correction for black holes in anti-de Sitter (AdS) spacetime and its dual boundary field theory. We show that the second order…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Kristian Hauser A. Villegas , Reginald Christian Bernardo

We present a JT gravity set up in the presence of projected ModMax corrections in two dimensions. Our starting point is the Einstein's gravity in four dimensions accompanied by the ModMax Lagrangian. The 2D gravity action is obtained…

High Energy Physics - Theory · Physics 2023-07-26 Hemant Rathi , Dibakar Roychowdhury

We give a systematic local description of invariant metrics and other invariant fields on a spacetime under the action of a (non-abelian) group. This includes the invariant fields in a neighbourhood of a principal and a special orbit. The…

High Energy Physics - Theory · Physics 2020-07-10 G. Papadopoulos

We consider the problem of stability of anti-de Sitter spacetime in five dimensions under small purely gravitational perturbations satisfying the cohomogeneity-two biaxial Bianchi IX ansatz. In analogy to spherically symmetric scalar…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Piotr Bizoń , Andrzej Rostworowski

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We follow to Witten proposal in the calculation of conformal anomaly from d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably…

High Energy Physics - Theory · Physics 2023-08-03 Arthur Lipstein , Silvia Nagy

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning…

High Energy Physics - Theory · Physics 2018-02-14 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

We study the instability of higher-dimensional rotating anti-de Sitter black holes through fragmentation. Fragmentation occurs when black holes rotate too fast to sustain their horizon, and then the black holes are broken into small pieces.…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Bogeun Gwak , Bum-Hoon Lee

Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS) rotating (Kerr) black holes in five and seven dimensions provide us with examples of non-trivial field theories which are scale, but not conformally invariant. This is…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson