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We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Jiri Podolsky , Robert Svarc , Vojtech Pravda , Alena Pravdova

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Breno L. Giacchini , Ivan Kolář

In this paper two things are done. First, it is pointed out the existence of exact asymptotically flat, spherically symmetric black holes when a self interacting, minimally coupled scalar field is the source of the energy momentum of the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Andres Anabalon , Julio Oliva

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Eugeny Babichev , Christos Charmousis , Antoine Lehébel

We study electrically charged, static, spherically symmetric black holes in quadratic gravity using the conformal-to-Kundt technique, which leads to a considerable simplification of the field equations. We study the solutions using a…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Vojtech Pravda , Alena Pravdova , George Turner

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

High Energy Physics - Theory · Physics 2014-11-21 Yi-Fu Cai , Damien A. Easson

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Masato Minamitsuji , James Edholm

In this work, we prove that the classical Schwarzschild-de Sitter spacetime is an exact solution of a class of weakly non-local, UV finite conformal quantum gravity theories, without the necessity of including a cosmological constant term…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Diego A. Martínez-Valera

In this work, we consider a very simple gravitational theory that contains a scalar field with its kinetic and potential terms minimally coupled to gravity, while the scalar field is assumed to have a coulombic form. In the context of this…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Athanasios Bakopoulos , Theodoros Nakas

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We prove under certain assumptions no-hair theorems for non-canonical self-gravitating static multiple scalar fields in spherically symmetric spacetimes. It is shown that the only static, spherically symmetric and asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Daniela Doneva , Stoytcho Yazadjiev

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

In this paper, we study asymptotic properties of static spherically symmetric black holes in quadratic gravity with a cosmological constant $\Lambda$. We find that for sufficiently large values of $|\Lambda|$ these black holes are…

General Relativity and Quantum Cosmology · Physics 2026-02-11 George Turner , Vojtěch Pravda , Alena Pravdová

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically…

High Energy Physics - Theory · Physics 2009-10-28 Youngjai Kiem , Dahl Park
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