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In this paper, the following two propositions are proven under the dominant energy condition for the matter field in the higher-dimensional spherically symmetric spacetime in Einstein-Gauss-Bonnet gravity in the presence of a cosmological…

High Energy Physics - Theory · Physics 2010-05-12 Hideki Maeda

Asymptotically anti-de Sitter space-times in pure gravity with negative cosmological constant are described, in all space-time dimensions greater than two, by classical degrees of freedom on the conformal boundary at space-like infinity.…

High Energy Physics - Theory · Physics 2009-10-31 K. Bautier , F. Englert , M. Rooman , Ph. Spindel

The massive non-relativistic free particle in d-1 space dimensions has an action with a surprizing non-linearly realized SO(d,2) symmetry. This is the simplest example of a host of diverse one-time-physics systems with hidden SO(d,2)…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

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

In this paper we provide the criteria for any generally covariant, parity preserving, and torsion free theory of gravity to possess a stable de Sitter (dS) or anti-de Sitter (AdS) background. By stability we mean the absence of tachyonic or…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

Recently a non-trivial 4-dimensional theory of gravity that claims to circumvent Lovelock's theorem and avoid Ostrogradsky instability was formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020)]. This theory, named "$4D$…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Pedro G. S. Fernandes

Applying a non-diagonal spherically symmetric tetrad field having arbitrary function, $S(r)$, that is corresponding to local Lorentz transformation, to the field equations of f(T) gravity theories. An analytic vacuum solutions with…

General Physics · Physics 2015-06-11 Gamal G. L. Nashed

In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Robert M. Wald

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass saturating the Breitenlohner-Freedman bound. Such "designer gravity" theories admit a large class of…

High Energy Physics - Theory · Physics 2013-05-30 Aaron J. Amsel , Matthew M. Roberts

We study asymptotically AdS topological black hole solutions with k=0 (plane symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a "cosmological constant" in various dimensions. We derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

The proposed dS/CFT correspondence remains an intriguing paradigm in the context of string theory. Recently it has motivated two interesting conjectures: the entropic N-bound and the maximal mass conjecture. The former states that there is…

High Energy Physics - Theory · Physics 2009-11-10 R. Clarkson , A. M. Ghezelbash , R. B. Mann

We construct an algorithm to determine all stationary axi-symmetric solutions of 3-dimensional Einstein gravity with a minimally coupled self-interacting scalar field. We holographically renormalize the theory and evaluate then the on-shell…

High Energy Physics - Theory · Physics 2013-06-18 Joao Aparicio , Daniel Grumiller , Esperanza Lopez , Ioannis Papadimitriou , Stefan Stricker

Within the framework of four-dimensional quadratic curvature gravities in the appearance of a negative cosmological constant, a definition for the gravitational energy of solutions with anti-de Sitter (AdS) asymptotics was put forward in…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Meng-Liang Wang , Jun-Jin Peng

We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Mariano Cadoni , Salvatore Mignemi , Matteo Serra

We demonstrate the existence of the first-class constraints on the massless Abelian 3-form theory which generate the classical gauge symmetry transformations for this theory in any arbitrary D-dimension of spacetime. We write down the…

High Energy Physics - Theory · Physics 2024-08-27 B. Chauhan , A. K. Rao , R. P. Malik

A new approach to solving two of the cosmological problems (CCPs) is proposed by introducing the Abbott-Deser (AD) method for defining Killing charges in asymptotic de Sitter space as the only consistent means for defining the ground-state…

General Relativity and Quantum Cosmology · Physics 2013-05-31 Thomas L. Wilson

We use the formulation of asymptotically anti-de Sitter boundary conditions given by Ashtekar and Magnon to obtain a coordinate expression for the general asymptotically AdeS metric in a neighbourhood of infinity. From this, we are able to…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Woolgar

Lanczos-Lovelock theories of gravity, in its first order version, are studied on asymptotically locally anti de Sitter spaces. It is shown that thermodynamics satisfies the standard behavior and an expression for entropy is found for this…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rodrigo Aros

General quantum gravity arguments predict that Lorentz symmetry might not hold exactly in nature. This has motivated much interest in Lorentz breaking gravity theories recently. Among such models are vector-tensor theories with preferred…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Metin Gurses , Cetin Senturk

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass near the Breitenlohner-Freedman bound. Such scalars are characterized by power-law radial decay near the AdS…

High Energy Physics - Theory · Physics 2013-05-01 Aaron J. Amsel , Matthew M. Roberts