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The curvature coordinates $T,R$ of a Schwarz\-schild spacetime are turned into canonical coordinates $T(r), {\sf R}(r)$ on the phase space of spherically symmetric black holes. The entire dynamical content of the Hamiltonian theory is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Karel V. Kuchař

We show that the dynamics of Schwarzschild-(A)dS black holes admits a symmetry under the 2d Schr\"odinger group, whatever the sign or value of the cosmological constant. This is achieved by reformulating the spherically-symmetric reduction…

General Relativity and Quantum Cosmology · Physics 2023-11-27 Jibril Ben Achour , Etera R. Livine , Daniele Oriti

We study a non-uniformly rotating universe outside a Schwarzschild black hole by generating a time-dependent manifold of revolution around a straight line. In this simple model where layers of spherical shells of the universe non-uniformly…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Vee-Liem Saw

The moving puncture method is analyzed for a single, non-spinning black hole. It is shown that the puncture region is not resolved by current numerical codes. As a result, the geometry near the puncture appears to evolve to an infinitely…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. David Brown

It is shown that the Schwarzschild spacetime can be extended so that the metric becomes analytic at the singularity. The singularity continues to exist, but it is made degenerate and smooth, and the infinities are removed by an appropriate…

General Relativity and Quantum Cosmology · Physics 2012-07-25 Ovidiu-Cristinel Stoica

We study the thermodynamics of a moving Schwarzschild black hole, identifying the temperature and entropy in a relativistic scenario. Furthermore, we set arguments in a framework relating invariant geometrical quantities under global…

General Relativity and Quantum Cosmology · Physics 2015-08-25 Cristian Barrera Hinojosa , Justo López-Sarrión

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

We propose a new lapse function that simplifies the Hamiltonian constraint, describing the interior of the black hole in terms of the Ashtekar-Barbero variables, into a more straightforward form. The new Hamiltonian leads to different…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Brayan Melchor , Rolando Perca , Wilfredo Yupanqui

We study regular Schwarzschild black holes in General Relativity as an alternative to the singular counterpart. We analyze two types of solutions which are completely parameterised by the ADM mass alone. We find that both families of…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Roberto Casadio , Alexander Kamenshchik , Jorge Ovalle

We construct a black-hole spacetime which includes the running of the gravitational coupling in a self-consistent way. Starting from a classical Schwarzschild black hole, the backreaction effects produced by the running Newton's coupling…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Alessia Platania

We establish a black hole uniqueness theorem for Schwarzschild-de Sitter spacetime, also called Kottler spacetime, which satisfies Einstein's field equations of general relativity with positive cosmological constant. Our result concerns the…

General Relativity and Quantum Cosmology · Physics 2010-09-10 Philippe G. LeFloch , Luc Rozoy

We present a new effective description of macroscopic Kruskal black holes that incorporates corrections due to quantum geometry effects of loop quantum gravity. It encompasses both the `interior' region that contains classical singularities…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. J. Adler , J. D. Bjorken , P. Chen , J. S. Liu

A new method is applied for deriving the redshift and shadow of a Schwarzschild black hole moving freely in the de Sitter expanding universe as recorded by a co-moving remote observer. This method is manly algebraic focusing on the…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ion I. Cotaescu

Increasing attention has been recently devoted to the study of Kantowski-Sachs spacetime as a way to explore the interior of a Schwarzschild black hole. In this work, we construct a Hamiltonian formulation for polar perturbations of this…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Guillermo A. Mena Marugán , Andrés Mínguez-Sánchez

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

We present a spinning black hole solution in $d$ dimensions with a maximal number of rotation parameters in the context of the Einstein-Maxwell-Dilaton theory. An interesting feature of such a solution is that it accommodates Lifshitz black…

High Energy Physics - Theory · Physics 2021-10-25 Alfredo Herrera-Aguilar , Jhony A. Herrera-Mendoza , Daniel F. Higuita-Borja

Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically…

General Relativity and Quantum Cosmology · Physics 2023-08-10 R. A. Konoplya , A. Zhidenko
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