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The Einstein-Klein-Gordon Lagrangian is supplemented by a non-minimal coupling of the scalar field to specific geometric invariants : the Gauss-Bonnet term and the Chern-Simons term. The non-minimal coupling is chosen as a general quadratic…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Y. Brihaye , L. Ducobu

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

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

The black hole scalarization in a special Einstein-scalar-Gauss-Bonnet (EsGB) gravity has been widely investigated in recent years. Especially, the spontaneous scalarization of scalar-free black hole in de-Sitter (dS) spacetime possesses…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Zhen-Hao Yang , Guoyang Fu , Xiao-Mei Kuang , Jian-Pin Wu

Recently a new class of scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories was discovered. What is special for these black hole solutions is that the scalarization is not due to the presence of matter, but {it is induced} by the…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev

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

Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

We study stationary slowly rotating black holes, up to quadratic order in the spin angular momentum, in dynamical Chern-Simons gravity and shift symmetric Einstein scalar Gauss-Bonnet gravity, as models of string-inspired gravities. These…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Keisuke Nakashi , Masashi Kimura

We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Carlos A. R. Herdeiro , Eugen Radu

In general relativity, all vacuum black holes are described by the Kerr solution. Beyond general relativity, there is a prevailing expectation that deviations from the Kerr solution increase with the horizon curvature. We challenge this…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Astrid Eichhorn , Pedro G. S. Fernandes , Aaron Held , Hector O. Silva

It has been previously shown that a Gauss-Bonnet term non-minimally coupled to a scalar field produces a scalarised black hole solution, which can be considered as having secondary scalar hair, parametrised in terms of the black hole's mass…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Callum L Hunter , Douglas J Smith

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

In the present paper we consider the extended scalar-tensor-Gauss-Bonnet gravity with a massive scalar field. We prove numerically the existence of Gauss-Bonnet black holes for three different forms of the coupling function including the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Christian G. Boehmer , Franco Fiorini

We consider charged black holes with scalar hair obtained in a class of Einstein-Maxwell-scalar models, where the scalar field is coupled to the Maxwell invariant with a quartic coupling function. Besides the Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Jose Luis Blázquez-Salcedo , Sarah Kahlen , Jutta Kunz

In this article, we consider a class of four-dimensional Einstein-Maxwell theory which is coupled non-minimally to a scalar field and the Gauss-Bonnet invariant. We mainly use the numerical methods to find the solutions to the theory, with…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Michael Butler , Masoud Ghezelbash

We study a number of well-motivated theories of modified gravity with the common overarching theme that they predict the existence of compact objects such as black holes and wormholes endowed with scalar hair. We compute the shadow radius…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Alexandros Papageorgiou , Panagiota Kanti

Inspired by possibility that the Schwarzschild black hole may not be the unique spherically symmetric vacuum solution to generalisations of general relativity, we consider black holes in pure fourth order higher derivative gravity treated…

High Energy Physics - Theory · Physics 2018-06-12 Kevin Goldstein , James Junior Mashiyane

We consider f(R) gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential. When the scalar field backreacts to the metric we find at large distances scalarized Schwarzschild-AdS and…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Zi-Yu Tang , Bin Wang , Thanasis Karakasis , Eleftherios Papantonopoulos

Studying the dynamical, nonlinear regime of modified theories of gravity remains a theoretical challenge that limits our ability to test general relativity. Here we consider two generally applicable, but approximate methods for treating…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Maxence Corman , Luis Lehner , William E. East , Guillaume Dideron