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Spontaneous scalarisation of electrically charged, asymptotically flat Reissner-Nordstr\"om black holes (BHs) has been recently demonstrated to occur in Einstein-Maxwell-Scalar (EMS) models. EMS BH scalarisation presents a technical…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Pedro G. S. Fernandes , Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu , Nicolas Sanchis-Gual

We apply the Hamiltonian formulation of teleparallel theories of gravity in 2+1 dimensions to a circularly symmetric geometry. We find a family of one-parameter black hole solutions. The BTZ solution fixes the unique free parameter of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. A. Sousa , J. W. Maluf

We consider the Hawking-Page phase transition between the BTZ black hole of $M \ge 0$ and the thermal soliton of $M=-1$. In this system, there exists a mass gap so that there does not seem to exist a continuous thermodynamic phase…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Myungseok Eune , Wontae Kim , Sang-Heon Yi

Different black hole solutions of the coupled Einstein-Yang-Mills equations have been well known for a long time. They have attracted much attention from mathematicians and physicists since their discovery. In this work, we analyze black…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Jose A. R. Cembranos , Jorge Gigante Valcarcel

Deriving the gravitational effective action directly from exact renormalization group is very complicated, if not impossible. Hence, to study the effects of running gravitational coupling which tends to a non--Gaussian UV fixed point (as it…

General Relativity and Quantum Cosmology · Physics 2020-04-29 R. Moti , A. Shojai

The "black-bounce" spacetime geometries, were recently proposed in [A. Simpson, M. Visser, JCAP 02 (2019) 042] as regular black holes that bouncing into a future incarnation of the universe. In this work we will present several black-bounce…

General Relativity and Quantum Cosmology · Physics 2022-07-29 Pedro Cañate

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

We propose a new method to account for quantum-gravitational effects in cosmological and black hole spacetimes. At the core of our construction is the "decoupling mechanism": when a physical infrared scale overcomes the effect of the…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Johanna N. Borissova , Alessia Platania

We investigate the possibility of spontaneous scalarization of static, spherically symmetric, and asymptotically flat black holes (BHs) in the Horndeski theory. Spontaneous scalarization of BHs is a phenomenon that the scalar field…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Masato Minamitsuji , Taishi Ikeda

We study black hole solutions in an extension of General Relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Orfeu Bertolami , Mariano Cadoni , Andrea Porru

In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime and its microscopic description. In…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Siddhartha Sen

I find a class of black hole solutions to a (3+1) dimensional theory gravity coupled to abelian gauge fields with negative cosmological constant that has been proposed as the dual theory to a Lifshitz theory describing critical phenomena in…

High Energy Physics - Theory · Physics 2009-05-11 R. B. Mann

We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of $U(1,1)\times U(1,1)$ Chern-Simons theory…

High Energy Physics - Theory · Physics 2009-01-13 Ee Chang-Young

We consider the behaviour of a quantum scalar field on three-dimensional Euclidean backgrounds: Anti-de Sitter space, the regular BTZ black hole instanton and the BTZ instanton with a conical singularity at the horizon. The corresponding…

High Energy Physics - Theory · Physics 2016-08-24 Robert B. Mann , Sergey N. Solodukhin

This paper examines a cosmological model of scale-dependent gravity. The gravitational action is taken to be the Einstein-Hilbert term supplemented with a cosmological constant, where the couplings, $G_k$ and $\Lambda_k$, run with the…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Pedro D. Alvarez , Benjamin Koch , Cristobal Laporte , Angel Rincon

Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. Orthonormal relations among them are derived. Quantization for scalar fields is done and particle number, energy and angular momentum are expressed by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Kenmoku , M. Kuwata , K. Shigemoto

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first introduce the BTZ black hole, solution of Einstein's gravity in 2+1 dimensions, and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bieliavsky , S. Detournay , M. Rooman , Ph. Spindel

Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olaf Bechmann , Olaf Lechtenfeld