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Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non-relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Aldrovandi , A. L. Barbosa , L. C. B. Crispino , J. G. Pereira

The two-dimensional anti-de Sitter space(AdS_2) is constructed in terms of the CGHS model. The geometric solutions are composed of the AdS vacuum and the AdS black hole which are locally equivalent but distinguishable by their mass. The…

High Energy Physics - Theory · Physics 2011-07-19 Won Tae Kim

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

We prove a positive volume theorem for asymptotically AdS spacetimes: the maximal volume slice has nonnegative vacuum-subtracted volume, and the vacuum-subtracted volume vanishes if and only if the spacetime is identically pure AdS. Under…

High Energy Physics - Theory · Physics 2022-01-13 Netta Engelhardt , Åsmund Folkestad

We consider three-dimensional AdS gravity minimally coupled to a massless scalar field and study numerically the evolution of small smooth circularly symmetric perturbations of the $AdS_3$ spacetime. As in higher dimensions, for a large…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Piotr Bizoń , Joanna Jałmużna

In this work, we follow the recently revisited f(R) theory of gravity for studying the interaction between quantum scalar particles and the gravitational field of a generalized black hole with an f(R) global monopole. This background has a…

General Relativity and Quantum Cosmology · Physics 2022-01-04 H. S. Vieira

We show that, in the framework of Einstein-scalar gravity, the gravitational coupling can drive the nucleation of the de Sitter (dS) spacetime from an anti de Sitter (AdS) one. This is done using a static and spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Mariano Cadoni , Mirko Pitzalis , Andrea P. Sanna

We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D-dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a set of two linear equations in a…

High Energy Physics - Theory · Physics 2015-06-26 Valeri P. Frolov , Andrei Zelnikov

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 consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We study the space of Killing fields on the four dimensional AdS spacetime $AdS^{3,1}$. Two subsets $\mathcal{S}$ and $\mathcal{O}$ are identified: $\mathcal{S}$ (the spinor Killing fields) is constructed from imaginary Killing spinors, and…

Differential Geometry · Mathematics 2016-01-05 Po-Ning Chen , Pei-Ken Hung , Mu-Tao Wang , Shing-Tung Yau

Within the general class of Asymptotically Anti-de Sitter spacetimes that are asymptotic to the A-de-S Schwarzschild metric, we give a simple positive mass theorem based on arguments from causal structure. A general result for all…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Woolgar

We present a menagerie of solutions to the vacuum Einstein equations in six, eight and ten dimensions. These solutions describe spacetimes which are either locally asymptotically adS or locally asymptotically flat, and which have…

High Energy Physics - Theory · Physics 2009-10-31 Adel Awad , Andrew Chamblin

The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Steven B. Giddings , Albion Lawrence

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

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

The question of existence of general, asymptotically flat radiative spacetimes and examples of explicit classes of radiative solutions of Einstein's field equations are discussed in the light of some new developments. The examples are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

In this article and its sequel we discuss the asymptotic structure of space-times representing isolated bodies in General Relativity. Such space-times are usually required to be asymptotically flat (AF), and thus to have a prescribed type…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Martin Reiris

The cosmological constant $\Lambda$ used to be a freedom in Einstein's theory of general relativity, where one had a proclivity to set it to zero purely for convenience. The signs of $\Lambda$ or $\Lambda$ being zero would describe…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Vee-Liem Saw

We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new…

High Energy Physics - Theory · Physics 2015-09-16 Zhong-Ying Fan , H. Lu