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Under certain conditions, we give a new way to prove the uniqueness of static black hole in higher dimensional asymptotically flat spacetimes. In the proof, the Penrose inequality plays a key role in higher dimensions as well as four…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ryosuke Mizuno , Seiju Ohashi , Tetsuya Shiromizu

In arXiv:1310.3002, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to obtain a static uniqueness theorem for Kottler spacetimes…

Differential Geometry · Mathematics 2022-03-10 Stefano Borghini

In a recent paper, the authors established the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by adapting Bunting and Masood-ul-Alam's proof of static vacuum black hole uniqueness. Here, we establish uniqueness…

Differential Geometry · Mathematics 2016-03-23 Carla Cederbaum , Gregory J. Galloway

We study the classical theory of a non-Abelian gauge field (gauge group $SU(2)$) coupled to a massive dilaton, massive axion and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a…

High Energy Physics - Theory · Physics 2010-11-01 Christopher M. O'Neill

We consider rotating black hole configurations of self-gravitating maps from spacetime into arbitrary Riemannian manifolds. We first establish the integrability conditions for the Killing fields generating the stationary and the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

Analytical extensions and resulting Penrose diagrams are given for the solutions of a simple 2d dilaton gravity theory describing black holes which are static as viewed by asymptotically accelerated observers.

General Relativity and Quantum Cosmology · Physics 2009-10-28 R. Balbinot , A. Fabbri

In this paper, we focus on massive Einstein-dilaton gravity including the coupling of dilaton scalar field to massive graviton terms, and then derive static and spherically symmetric solutions of dilatonic black holes in four dimensional…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Bo Liu , Rui-Hong Yue , De-Cheng Zou , Lina Zhang , Zhan-Ying Yang , Qiyuan Pan

We study the properties of a completely integrable deformation of the CGHS dilaton gravity model in two dimensions. The solution is shown to represent a singularity free black hole that at large distances asymptoticaly joins to the CGHS…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Aleksandar Bogojevic , Dejan Stojkovic

We present a new class of slowly rotating black hole solutions in $(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence of Liouville-type potential for the dilaton field and an arbitrary value of the dilaton…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

Exact static spherically symmetric charged black holes in four dimensions are presented. One of them has only electric charge and another electric and magnetic charges. In these solutions the metric is asymptotically flat, has two horizons,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 E. Kyriakopoulos

We investigate unattractor behavior in non-extremal black holes in Einstein-Born-Infeld-Dilaton theory of gravity in four-dimensional asymptotically flat spacetime. We obtain solutions which are non-singular near the horizon and dependent…

High Energy Physics - Theory · Physics 2007-06-15 Sangheon Yun

The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We present a technique for obtaining spherically symmetric, asymptotically (anti)-de Sitter, black hole solutions of dilaton gravity with generic coupling to a Maxwell field, starting from exact asymptotically flat solutions and adding a…

General Relativity and Quantum Cosmology · Physics 2009-07-03 S. Mignemi

It is argued that the existence of constant dilaton field solutions is a generic feature of string-inspired dilaton gravity. Such solutins arise in the extreme limit of black hole metrics. It is shown that in a strong coupling region…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly…

General Relativity and Quantum Cosmology · Physics 2024-08-27 O. S. Stashko , V. I. Zhdanov

We prove the uniqueness theorem for static spherically symmetric traversable wormholes with two asymptotically flat ends, constituting the solutions of Einstein-phantom-electric-magnetic equations of motion. For the completeness of the…

General Relativity and Quantum Cosmology · Physics 2025-05-12 Marek Rogatko

We present an investigation of spinning black holes in Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a non-perturbative approach, by directly solving the field equations. These stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Eugen Radu

In this lecture, I explain the gauge-invariant formulation for perturbations of background spacetimes with untwisted homologous Einstein fibres, which include lots of practically important spacetimes such as static black holes, static black…

High Energy Physics - Theory · Physics 2009-01-28 Hideo Kodama

Flat electrical charged black holes in 5-dimensional anti-de Sitter space have been applied to the study of the phase diagram of quark matter via AdS/CFT correspondence. In such application it is argued that since the temperature of the…

High Energy Physics - Theory · Physics 2017-08-23 Yen Chin Ong

We describe in superspace a classical theory of of two dimensional $(1,1)$ dilaton supergravity coupled to a super-Liouville field, and find exact super black hole solutions to the field equations that have non-constant curvature. We…

High Energy Physics - Theory · Physics 2009-11-07 J. Kamnitzer , R. B. Mann