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Large scale magnetic fields pervade the cosmic environment where the astrophysical black holes are often embedded and influenced by the mutual interaction. In this contribution we outline the appropriate mathematical framework to describe…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Vladimir Karas

An analogy is drawn between recent work with Kley (math.AG/0007082) and the WDVV equations. That is, both are regarded as symmetries of generating functions with coefficients that "count" rational curves on a complex projective manifold. It…

Algebraic Geometry · Mathematics 2007-05-23 Aaron Bertram

We derive the form of the metric for static, nonsingular black holes with a de Sitter core, representing a deformation of the Schwarzschild solution, by assuming that the gravitational sources describe a flow between two conformal points,…

General Relativity and Quantum Cosmology · Physics 2023-06-30 Mariano Cadoni , Andrea Pierfrancesco Sanna

Dyonic black hole solutions with spherically symmetric configurations within general relativity are investigated where the source of the gravitational field is Born - Infeld-type electrodynamics. Corrections to Coulomb's law and Reissner -…

General Relativity and Quantum Cosmology · Physics 2019-09-30 S. I. Kruglov

The black hole rigidity theorem asserts that a rotating stationary black hole must be axisymmetric. This theorem holds for General Relativity with suitable matter fields, in four or more dimensions. We show that the theorem can be extended…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Stefan Hollands , Akihiro Ishibashi , Harvey S. Reall

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we…

High Energy Physics - Theory · Physics 2010-04-06 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

We apply the Dirac-Bergmann algorithm for the analysis of constraints to gauge theories defined on spherically symmetric black hole backgrounds. We find that the constraints for a given theory are modified on such spacetimes through the…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Karan Fernandes , Suman Ghosh , Amitabha Lahiri

We summarize our work on spherically symmetric midi-superspaces in loop quantum gravity. Our approach is based on using inhomogeneous slicings that may penetrate the horizon in case there is one and on a redefinition of the constraints so…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

In this paper, we consider a linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transition and thermodynamic geometry. We show that, depending on the values of the parameters, these type…

High Energy Physics - Theory · Physics 2015-11-25 S. H. Hendi , A. Sheykhi , S. Panahiyan , B. Eslam Panah

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We consider null and time-like geodesics around a spherically symmetric, non-rotating Coherent Quantum Black Hole (CQBH). The classical limit of the geometry of CQBH departs from that of the Schwarzschild spacetime at short scales and…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Abdybek Urmanov , Hrishikesh Chakrabarty , Daniele Malafarina

We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles,…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

The action of four-dimensional Horndeski gravity coupled to Born-Infeld electromagnetic fields is given via the Kaluza-Klein process. Dyonic black hole solution of the theory is constructed. The metric is devoid of singularity at the origin…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Kun Meng , Lianzhen Cao , Jiaqiang Zhao , Fuyong Qin , Tao Zhou , Meihua Deng

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

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 investigate a complete family of spacetimes which represent black holes with rotation, NUT twist, acceleration, electric and magnetic charges. These are exact solutions of the Einstein-Maxwell equations with any cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hryhorii Ovcharenko , Jiri Podolsky , Marco Astorino

We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines…

High Energy Physics - Theory · Physics 2009-12-10 Hernando Quevedo , Alberto Sanchez

We propose a new form of the rotating C-metric with cosmological constant, which generalises the form found by Hong and Teo for the Ricci-flat case. This solution describes the entire class of spherical black holes undergoing rotation and…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Yu Chen , Cheryl Ng , Edward Teo

Starting from a metric Ansatz permitting a weak version of Birkhoff's theorem we find static black hole solutions including matter in the form of free scalar and p-form fields, with and without a cosmological constant \Lambda. Single p-form…

High Energy Physics - Theory · Physics 2015-06-04 Yannis Bardoux , Marco M. Caldarelli , Christos Charmousis

We consider axially symmetric static metrics in arbitrary dimension, both with and without a cosmological constant. The most obvious such solutions have an SO(n) group of Killing vectors representing the axial symmetry, although one can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christos Charmousis , Ruth Gregory
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