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In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with…

Differential Geometry · Mathematics 2015-06-26 Jie Qing

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

High Energy Physics - Theory · Physics 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing…

High Energy Physics - Theory · Physics 2014-11-18 Rong-Gen Cai , Anzhong Wang

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

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

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 black hole solutions in the Einstein-Gauss-Bonnet gravity with the dilaton and a negative ``cosmological constant''. We derive the field equations for the static spherically symmetric ($k=1$) and hyperbolically symmetric ($k=-1$)…

High Energy Physics - Theory · Physics 2009-08-11 Nobuyoshi Ohta , Takashi Torii

A variety of gravitational dynamics problems in asymptotically anti-de Sitter (AdS) spacetime are amenable to efficient numerical solution using a common approach involving a null slicing of spacetime based on infalling geodesics,…

High Energy Physics - Theory · Physics 2016-05-24 Paul M. Chesler , Laurence G. Yaffe

For a spherically symmetric self-gravitating scalar field we study self similar and quasi-self similar solutions in asymptotically flat and AdS spacetimes in various dimensions. Our main approach relies on reducing the Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Wenli Zhao

We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these…

High Energy Physics - Theory · Physics 2009-11-10 Robert Mann , Cristian Stelea

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Melis , S. Mignemi

Global structure of the (anti-)de~Sitter ((A)dS) generalization of the Roberts solution in general relativity with a massless scalar field and its topological generalization is clarified. In the case with a negative cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda

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

We show that complex, massive spin-1 fields minimally coupled to Einstein's gravity with a negative cosmological constant, admit asymptotically anti-de Sitter self-gravitating solutions. Focusing on 4-dimensional spacetimes, we start by…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Miguel Duarte , Richard Brito

We show that in Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and without a cosmological constant, one can explain the acceleration of the expanding Universe. We first introduce a solution of the Gauss-Bonnet gravity with…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the…

High Energy Physics - Theory · Physics 2019-05-22 Aaron Poole , Kostas Skenderis , Marika Taylor

We numerically simulate gravitational collapse in asymptotically anti-de Sitter spacetimes away from spherical symmetry. Starting from initial data sourced by a massless real scalar field, we solve the Einstein equations with a negative…

High Energy Physics - Theory · Physics 2017-11-08 Hans Bantilan , Pau Figueras , Markus Kunesch , Paul Romatschke

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 present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson--(anti)-de Sitter ((A)dS) metrics,…

High Energy Physics - Theory · Physics 2008-11-26 R. Clarkson , R. B. Mann

We study the stability of static, hyperbolic Gauss-Bonnet black holes in (4+1)-dimensional Anti-de-Sitter (AdS) space-time against the formation of scalar hair. Close to extremality the black holes possess a near-horizon topology of AdS_2 x…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Yves Brihaye , Betti Hartmann
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