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New approach to exact solvability of dilaton gravity theories is suggested which appeals directly to structure of field equations. It is shown that black holes regular at the horizon are static and their metric is found explicitly. If a…

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

In the present paper we construct a new solution to the Einstein-Maxwell-dilaton gravity equations describing electrically charged dilaton black holes immersed in a strong external magnetic field and we study its properties. The black holes…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Stoytcho S. Yazadjiev

We show uniqueness theorems for Kaluza-Klein black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and a non-degenerate connected…

High Energy Physics - Theory · Physics 2010-12-23 Shinya Tomizawa

As the only gravity theory with quadratic curvature terms and second-order field equations, Einstein-dilaton-Gauss-Bonnet gravity is a natural testbed to probe the high-curvature regime beyond General Relativity in a fully nonperturbative…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Fabrizio Corelli , Marina De Amicis , Taishi Ikeda , Paolo Pani

Starting with the two-derivative limit of $D=2$ string theory, we explore the space of T-duality invariant $\alpha'$ corrections, a space that contains a point representing the fully $\alpha'$-corrected classical string theory. Using a…

High Energy Physics - Theory · Physics 2023-08-22 Tomas Codina , Olaf Hohm , Barton Zwiebach

We prove the uniqueness theorem for stationary self-gravitating non-linear \sigma-models in five-dimensional spacetime. We show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric,…

High Energy Physics - Theory · Physics 2010-11-19 Marek Rogatko

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant. Starting from the Myers-Perry solutions, we use the electric…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

Differential Geometry · Mathematics 2024-09-20 Klaus Kroencke , Oliver Petersen

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 charged dilatonic black holes in four…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Lina Zhang , Qiyuan Pan , Bo Liu , Ming Zhang , De-Cheng Zou

We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a…

High Energy Physics - Theory · Physics 2014-10-21 Xuefeng Zhang , H. Lu

In this article, the new black hole solutions to the Einstein-power-Maxwell-dilaton gravity theory have been investigated in a four-dimensional space-time. The coupled scalar, electromagnetic and gravitational field equations have been…

General Relativity and Quantum Cosmology · Physics 2019-08-13 M. Dehghani , M. R. Setare

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet theory. In five-dimensional spacetime we find…

General Relativity and Quantum Cosmology · Physics 2020-10-15 R. A. Konoplya , A. Zhidenko

We obtain a class of slowly rotating charged Kaluza-Klein black hole solutions of the five-dimensional Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant. At infinity, the spacetime is effectively four-dimensional. In…

High Energy Physics - Theory · Physics 2010-04-06 Masoud Allahverdizadeh , Ken Matsuno , Ahmad Sheykhi

Mechanics of non-rotating black holes was recently generalized by replacing the static event horizons used in standard treatments with `isolated horizons.' This framework is extended to incorporate dilaton couplings. Since there can be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Alejandro Corichi

A new proof of the uniqueness of the Kerr-Newman black hole solutions amongst asymptotically flat, stationary and axisymmetric electro-vacuum spacetimes surrounding a connected Killing horizon is given by means of an explicit construction…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Reinhard Meinel

We study the nonlinear evolution of the spherical symmetric black holes under a small neutral scalar field perturbation in Einstein-Maxwell-dilaton theory with coupling function $f(\phi)=e^{-b\phi}$ in asymptotic anti-de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

The celebrated uniqueness's theorem of the Schwarzschild solution by Israel, Robinson et al, and Bunting/Masood-ul-Alam, asserts that the only asymptotically flat static solution of the vacuum Einstein equations with compact but…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Martín Reiris Ithurralde

An exact time-dependent solution of a black hole is found in conformally invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric $g_{\mu\nu}=\omega^{\frac{4}{n-2}}\tilde g_{\mu\nu}$. Here $\tilde g_{\mu\nu}$…

High Energy Physics - Theory · Physics 2021-07-19 Reinoud J. Slagter

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only…

High Energy Physics - Theory · Physics 2014-11-20 Nobuyoshi Ohta , Takashi Torii

We demonstrate the uniqueness of the spacetimes recently found by us in [H. Ovcharenko and J. Podolsky, Phys. Rev. D 112 (2025) 064076]. First, we prove that the conformal-to-Carter metric ansatz we used therein is the only possible for…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Hryhorii Ovcharenko , Jiri Podolsky
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