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We present and analyze exact solutions of the Einstein-Maxwell and Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan

We consider Einstein gravity coupled to two Maxwell fields and one dilatonic scalar, and construct spherically-symmetric and static black holes that are charged under both Maxwell fields in general $D$ dimensions. We find that for suitable…

High Energy Physics - Theory · Physics 2026-04-17 H. Lu , Peng-Yu Wu , Ze-Hua Wu , Weicheng Zhao

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the…

High Energy Physics - Theory · Physics 2015-06-15 Mirjam Cvetič , Monica Guica , Zain H. Saleem

A class of exact solutions of Einstein's equations is analysed which describes uniformly accelerating charged black holes in an asymptotically de Sitter universe. This is a generalisation of the C-metric which includes a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths

We explore a formulation of thermodynamic geometry of black holes and prove that the divergent points of the specific heat correspond exactly to the singularities of the thermodynamic curvature. We investigate this correspondence for…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Seyed Ali Hosseini Mansoori , Behrouz Mirza

We discuss the properties of lorentzian and euclidean black hole solutions of a generalized 2-dim dilaton-gravity action containing a modulus field, which arises from the compactification of heterotic string models. The duality symmetries…

High Energy Physics - Theory · Physics 2010-11-01 M. Cadoni , S. Mignemi

A black hole solution of Einstein's field equations with cylindrical symmetry is found. Using the Hamiltonian formulation one is able to define mass and angular momentum for the cylindrical black hole through the corresponding and…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jose' P. S. Lemos

We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg field equations (EHFE) and prove that its effective geometry contains (optical) black holes. It is conjectured that there are also soliton solutions to the…

Mathematical Physics · Physics 2010-12-22 Shawn Westmoreland

We review exact solutions of black holes in higher dimensions, focusing on asymptotically flat black hole solutions and Kaluza-Klein type black hole solutions. We also summarize some properties which such black hole solutions reveal.

High Energy Physics - Theory · Physics 2015-05-27 Shinya Tomizawa , Hideki Ishihara

We investigate the thermodynamical properties of solutions to the 5D Einstein and Einstein-Maxwell-dilaton equations describing static black holes on ALF gravitational instantons. Some general expressions regarding the nut charge and…

High Energy Physics - Theory · Physics 2015-05-30 Petya Nedkova , Stoytcho S. Yazadjiev

In this paper we investigate new dyonic black holes of massive gravity sourced by generalized quasitopological electromagnetism in arbitrary dimensions. We begin by deriving the exact solution to the field equations defining these black…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Askar Ali , Ali Övgün

We summarize recent results on $D$-dimensional Robinson-Trautman solutions of Einstein's gravity in the presence of a conformally invariant non-linear electromagnetic field and a cosmological constant. These spacetimes contain static dyonic…

General Relativity and Quantum Cosmology · Physics 2022-02-01 David Kokoška , Marcello Ortaggio

A physical interpretation of the C-metric with a negative cosmological constant $\Lambda$ is suggested. Using a convenient coordinate system it is demonstrated that this class of exact solutions of Einstein's equations describes uniformly…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Podolsky

In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only…

High Energy Physics - Theory · Physics 2011-12-09 Ozgur Sarioglu

In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational…

High Energy Physics - Theory · Physics 2017-12-14 Tomas Andrade

Several recent results concerning the complete class of exact solutions to the Einstein-Maxwell-$\Lambda$ equations of type D with a double-aligned electromagnetic field are summarized. This large class of spacetimes includes charged black…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Jiri Podolsky

We show that rotating dyonic black holes with static and counterrotating horizon exist in Einstein-Maxwell-dilaton theory when the dilaton coupling constant exceeds the Kaluza-Klein value. The black holes with static horizon bifurcate from…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida

A comprehensive analysis of small fluctuations about two-dimensional string-theoretic and string-inspired black holes is presented. It is shown with specific examples that two-dimensional black holes behave in a radically different way from…

High Energy Physics - Theory · Physics 2008-02-03 Gerald Gilbert , Eric Raiten

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
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