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We report on numerical constructions of fully non-linear geons in asymptotically anti-de Sitter (AdS) spacetimes in four dimensions. Our approach is based on 3+1 formalism and spectral methods in a gauge combining maximal slicing and…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Grégoire Martinon , Gyula Fodor , Philippe Grandclément , Peter Forgàcs

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of massive graviton terms for some well-known…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Tuan Q. Do

Consistent and covariant Lorentz and diffeomorphism anomalies are investigated in terms of the geometry of the universal bundle for gravity. This bundle is explicitly constructed and its geometrical structure will be studied. By means of…

High Energy Physics - Theory · Physics 2009-10-22 Gerald Kelnhofer

We discuss dynamics of massive Klein-Gordon fields in two-dimensional Anti-de Sitter spacetimes ($AdS_2$), in particular conserved quantities and non-modal instability on the future Poincar\'e horizon called, respectively, the Aretakis…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Takuya Katagiri , Masashi Kimura

A non-linear gravitational model with a multidimensional geometry and quadratic scalar curvature is considered. For certain parameter ranges, the extra dimensions are stabilized if the internal spaces have negative curvature. As a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. Guenther , P. Moniz , A. Zhuk

Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an excellent example of a theory that, while including higher-order curvature corrections to General Relativity, still shares many of its features, such as second-order…

High Energy Physics - Theory · Physics 2015-06-05 Fernando Izaurieta , Eduardo Rodríguez

We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We review recent progress in understanding the anti-de Sitter/conformal field theory correspondence in the context of two-dimensional dilaton gravity theory.

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta

It is shown that an action inspired from a BF and Chern-Simons model, based on the $AdS_4$ isometry group SO(3, 2), with the inclusion of a Higgs potential term, furnishes the MacDowell-Mansouri-Chamseddine-West action for gravity, with a…

High Energy Physics - Theory · Physics 2009-11-07 Carlos Castro

We study the quantum gravitational corrections to the geometry of a four-dimensionalcharged (Reissner-Nordstr\"om) Anti de Sitter black hole starting from an effective field theory approach to quantum gravity. We use the expression of the…

High Energy Physics - Theory · Physics 2025-02-11 Behnam Pourhassan , Ruben Campos Delgado , Sudhaker Upadhyay , Hoda Farahani , Himanshu Kumar

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of…

High Energy Physics - Theory · Physics 2016-11-15 Oscar J. C. Dias , Jorge E. Santos

AdS graviton stars are studied in the differential configurational entropy setup, as solutions of the effective Einstein field equations that backreact to compactification. With the critical central density of AdS graviton stars, the…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Roldao da Rocha

We construct supersymmetric gravitational soliton solutions of five-dimensional gauged supergravity coupled to arbitrarily many vector multiplets. The solutions are complete, globally stationary, $1/4$-BPS and are asymptotically locally…

High Energy Physics - Theory · Physics 2023-08-21 Turkuler Durgut , Hari K. Kunduri

In this article we study invariance properties of shift-invariant spaces in higher dimensions. We state and prove several necessary and sufficient conditions for a shift-invariant space to be invariant under a given closed subgroup of…

Classical Analysis and ODEs · Mathematics 2010-02-08 Magalí Anastasio , Carlos Cabrelli , Victoria Paternostro

We examine the AdS Higgs phenomenon for spin-1 fields, and demonstrate that graviphotons pick up a dynamically generated mass in AdS_4, once matter boundary conditions are relaxed. We perform an explicit one-loop calculation of the…

High Energy Physics - Theory · Physics 2009-11-10 Benjamin A. Burrington , James T. Liu

Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In…

High Energy Physics - Theory · Physics 2015-06-26 S. Kojima , N. Sakai , Y. Tanii

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the…

High Energy Physics - Theory · Physics 2022-08-10 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We construct Born-Infeld (BI) type gravity theories which describe tree-level unitary (non-ghost and non-tachyonic) massless spin-2 modes around their maximally symmetric vacua in four dimensions. Building unitary BI actions around flat…

High Energy Physics - Theory · Physics 2015-03-05 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We investigate the correlated stability conjecture for AdS black holes obtained from the higher dimensional Ricci cubic gravity. It shows that the Ricci tensor perturbations exhibit unstable modes for small AdS black holes when solving…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Yun Soo Myung , De-cheng Zou
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