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Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

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 uncover two mechanisms that can render Kerr black holes unstable in scalar-tensor gravity, both associated to the presence of matter in the vicinity of the black hole and the fact that this introduces an effective mass for the scalar.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou

We propose a new notion of singularity in General Relativity which complements the usual notions of geodesic incompleteness and curvature singularities. Concretely, we say that a spacetime has a volume singularity if there exist points…

General Relativity and Quantum Cosmology · Physics 2024-05-30 Leonardo García-Heveling

We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor…

General Relativity and Quantum Cosmology · Physics 2014-10-09 Luciano Rezzolla , Alexander Zhidenko

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

General Relativity and Quantum Cosmology · Physics 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

Massive scalar charges are ubiquitous in extensions to General Relativity and the Standard Model in particle physics. We describe spectral methods which can accurately construct the spacetime of rotating black holes with dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Adrian Ka-Wai Chung

Assuming certain asymptotic conditions, we prove a general theorem on the non-existence of static regular (i.e., nondegenerate) black holes in spacetimes with a negative cosmological constant, given that the fundamental group of space is…

General Relativity and Quantum Cosmology · Physics 2017-08-23 G. J. Galloway , S. Surya , E. Woolgar

A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Johan Hansson

Potentials arising in ultraviolet-completed field theories can be devoid of singularities, and hence render spacetimes simply connected. This challenges the notion of topological invariants considered in such scenarios. We explore the…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Jens Boos

In this paper, we determine regular black hole solutions using a very general $f(R)$ theory, coupled to a non-linear electromagnetic field given by a Lagrangian $\mathcal{L}_{NED}$. The functions $f(R)$ and $\mathcal{L}_{NED}$ are left in…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Manuel E. Rodrigues , Julio C. Fabris , Ednaldo L. B. Junior , Glauber T. Marques

We consider a class of black holes for which the area of the two-dimensional spatial cross-section has a minimum on the horizon with respect to a quasiglobal (Krusckal-like) coordinate. If the horizon is regular, one can generate a tubelike…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Oleg B. Zaslavskii

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

A set of features of the renormalization group improved Kerr spacetime taking into account the running of Newton's constant is presented. This set includes: Behavior of the critical surfaces and corrections to the mass and angular momentum…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter , E. Tuiran

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

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

X-ray reflection spectroscopy is a powerful tool for testing the Kerr hypothesis and probing the strong gravity regime around accreting black holes. Most tests of General Relativity (GR) assume that the spacetime around a black hole is…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Leda Gao , Swarnim Shashank , Cosimo Bambi

We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature. In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Ali H. Chamseddine , Viatcheslav Mukhanov

We formulate holomorphic theory of gravity and study how the holomorphy symmetry alters the two most important singular solutions of general relativity: black holes and cosmology. We show that typical observers (freely) falling into a…

General Relativity and Quantum Cosmology · Physics 2011-09-05 Christiaan L. M. Mantz , Tomislav Prokopec

In the teleparallel equivalent of general relativity the energy density of asymptotically flat gravitational fields can be naturaly defined as a scalar density restricted to a three-dimensional spacelike hypersurface $\Sigma$. Integration…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. W. Maluf , E. F. Martins , A. Kneip
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