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We present a mathematical framework for generating thick domain wall solutions to the coupled Einstein-scalar field equations which are (locally) plane symmetric. This approach leads naturally to two broad classes of wall-like solutions.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard Gass , Manash Mukherjee

The properties of static spherically symmetric black holes, which are either electrically or magnetically charged, and which are coupled to the dilaton in the presence of a cosmological constant, are considered. It is shown that such…

High Energy Physics - Theory · Physics 2010-11-01 S. J. Poletti , J. Twamley , D. L. Wiltshire

We derive noncommutative Einstein equations for abelian twists and their solutions in consistently symmetry reduced sectors, corresponding to twisted FRW cosmology and Schwarzschild black holes. While some of these solutions must be…

High Energy Physics - Theory · Physics 2009-10-20 Thorsten Ohl , Alexander Schenkel

The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal…

High Energy Physics - Theory · Physics 2013-08-09 Alejandra Castro , Joshua M. Lapan , Alexander Maloney , Maria J. Rodriguez

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

General Relativity and Quantum Cosmology · Physics 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions…

General Relativity and Quantum Cosmology · Physics 2019-04-11 Hayato Motohashi , Masato Minamitsuji

The aim of this paper is to continue the research of JMP 46, 042501 (2005) of regular static spherically symmetric spacetimes in Einstein-Born-Infeld theories from the point of view of the spacetime geometry and the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 D. J. Cirilo Lombardo

In a wide range of quantum gravity theories, quasiclassical geometries, which are solutions to the Einstein field equations approximately, are described by "coherent states." Here we propose a Hamiltonian formalism for gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Sijia Wang , Achintya Sajeendran , Dong-han Yeom , Robert B. Mann , Joshua Foo

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , Elizabeth Winstanley

Nonsingular black holes have received much attention in recent years as they provide an opportunity to avoid the singularities inherent to the mathematical black holes predicted by general relativity. Based on the assumption that…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Sebastian Murk , Ioannis Soranidis

In analogy with the standard derivation of the Schwarzschild solution, we find all static, cylindrically symmetric solutions of the Einstein field equations for vacuum. These include not only the well known cone solution, which is locally…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Cynthia S. Trendafilova , Stephen A. Fulling

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

A new class of solutions of the Einstein field equations in spherical symmetry is found. The new solutions are mathematically described as the metrics admitting separation of variables in area-radius coordinates. Physically, they describe…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Giambo' , Fabio Giannoni , Giulio Magli , Paolo Piccione

We numerically integrate the semiclassical equations of motion for spherically symmetric Einstein-Maxwell theory with a dilaton coupled scalar field and look for zero temperature configurations. The solution we find is studied in detail…

High Energy Physics - Theory · Physics 2010-11-19 C. Barbachoux , A. Fabbri

The auxiliary/dynamic decoupling method of hep-th/0609001 applies to perturbations of any co-homogeneity 1 background (such as a spherically symmetric space-time or a homogeneous cosmology). Here it is applied to compute the perturbations…

High Energy Physics - Theory · Physics 2008-11-26 Vadim Asnin , Barak Kol

Black holes with resonant hair are static, spherical, electrically charged solutions of the Einstein-Maxwell-(gauged-)scalar system. Scalar self-interactions are mandatory for their existence. Initial dynamical studies restricted to…

General Relativity and Quantum Cosmology · Physics 2026-04-27 José Ferreira , Carlos A. R. Herdeiro , Eugen Radu , Miguel Zilhão

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

We analyze a class of topological static spherically symmetric vacuum solutions in $f(Q)$-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Lorenzo Sebastiani

We present a systematic study of static solutions of the vacuum Einstein equations with negative cosmological constant which asymptotically approach the generalized Kottler (``Schwarzschild--anti-de Sitter'') solution, within (mainly) a…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Piotr T. Chrusciel , Walter Simon