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We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with…

High Energy Physics - Theory · Physics 2017-08-16 Pablo Bueno , Pablo A. Cano

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

Observations of the black hole shadow of supermassive black holes, such as Sagittarius A* at the center of our Milky Way galaxy, allow us to study the properties of black holes and the nature of strong-field gravity. According to the Kerr…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Dimitry Ayzenberg , Nicolas Yunes

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature $2k$ in Ho\v{r}ava-Lifshitz theory. Without loss of generality, one may take $k=1,0$ and -1. The black hole solution is asymptotically AdS…

High Energy Physics - Theory · Physics 2011-04-14 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

Despite the experimental success of general relativity in the scales it has been tested, there are still some inconsistencies, such as explaining the acceleration of the universe and singularities. $f(R)$ gravity has emerged to provide…

General Relativity and Quantum Cosmology · Physics 2023-12-12 A. C. L. Santos , R. V. Maluf , C. R. Muniz

The existence of curvature singularities and the information and firewall paradoxes are significant problems for the conventional black hole model. The black mirror provides a CPT-symmetric alternative to the classical description. We show…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Pau Amaro Seoane

We show the existence of a Hawking vector field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth Einstein-Maxwell space-time without assuming the underlying space-time is analytic. It extends…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Pin Yu

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

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

Black hole solutions with nonspherical event horizon topology are shown to exist in an Einstein-Yang-Mills theory with negative cosmological constant. The main characteristics of the solutions are presented and differences with respect to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. J. van der Bij , Eugen Radu

In the past decade, we have seen an unprecedented progress in our ability of testing general relativity in the strong field regime with black hole observations. Most studies have focused on the so-called tests of the Kerr hypothesis: they…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Shuaitongze Zhao , Shafqat Riaz , Cosimo Bambi

Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Cosimo Bambi

The analysis of the properties of the X-ray radiation emitted from geometrically thin accretion disks around black holes can be a powerful tool to test General Relativity in the strong field regime. This chapter reviews the state-of-the-art…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Cosimo Bambi

The properties of higher-dimensional black holes can differ significantly from those of black holes in four dimensions, since neither the uniqueness theorem, nor the staticity theorem or the topological censorship theorem generalize to…

High Energy Physics - Theory · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lerida

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric deviations from the Kerr metric have been suggested to study…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Tim Johannsen , Dimitrios Psaltis

Although previous results have ruled out the possibility of a static horizon in cosmology, we present black hole and white hole metrics that retain static horizons while reproducing cosmological behavior at large distances. Using an…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Ida M. Rasulian , Amjad Ashoorioon

Observations of galactic nuclei help us to test General Relativity. Whereas the No-hair Theorem states that classical, isolated black holes eventually settle to a stationary state that can be characterized by a small number of parameters,…

High Energy Astrophysical Phenomena · Physics 2021-12-30 Vladimir Karas , Michal Zajacek , Devaky Kunneriath , Michal Dovciak
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