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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

One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Yunho Kim , Archil Kobakhidze

We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

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

There exist two branches of static and spherically symmetric black hole solutions in Einstein-Weyl theory: one is the Schwarzschild black hole, and the other is a numerically constructed black hole that bifurcates from the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Ze Li , Hai-Shan Liu

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss- Bonnet action. We show the existence of solutions with nonflat asymptotic behavior.

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Mignemi

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

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

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

We consider the thermodynamic properties of an exact black hole solution obtained in Weyl geometric gravity theory, by considering the simplest conformally invariant action, constructed from the square of the Weyl scalar, and the strength…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Muhammad F. A. R. Sakti , Piyabut Burikham , Tiberiu Harko

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Marion Wirschins

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

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour. They are determined using an ansatz for the scalar field profile and working out,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mariano Cadoni , Edgardo Franzin

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

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically…

High Energy Physics - Theory · Physics 2015-12-22 H. Lü , A. Perkins , C. N. Pope , K. S. Stelle

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

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