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We introduce three approaches to generate curvature invariants that transform covariantly under a conformal transformation of a four dimensional spacetime. For any black hole conformally related to a stationary black hole, we show how a set…

General Relativity and Quantum Cosmology · Physics 2017-11-22 David D. McNutt

In this work we describe metric-affine theories anew by making a change of field variables. A series of equivalent frameworks is presented and identifications are worked out in detail. The advantage of applying the new frameworks is that…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Damianos Iosifidis , Konstantinos Pallikaris

A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner

We investigate the effect of gravitational back-reaction on the black hole evaporation process. The standard derivation of Hawking radiation is re-examined and extended by including gravitational interactions between the infalling matter…

High Energy Physics - Theory · Physics 2009-10-28 Youngjai Kiem , Erik Verlinde , Herman Verlinde

Previous work on dynamical black hole instability is further elucidated within the Hamilton-Jacobi method for horizon tunneling and the reconstruction of the classical action by means of the null-expansion method. Everything is based on two…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Roberto Di Criscienzo , Sean A. Hayward , Mario Nadalini , Luciano Vanzo , Sergio Zerbini

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

High Energy Physics - Theory · Physics 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

We summarize recent results on the properties of near-horizon metrics in different spherically symmetric space-times, including Kantowski-Sachs cosmological models whose evolution begins with a horizon (the so-called Null Big Bang) and…

General Relativity and Quantum Cosmology · Physics 2008-11-03 K. A. Bronnikov , E. Elizalde , O. B. Zaslavskii

Shape dynamics is classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime diffeomorphism invariance, shape dynamics takes…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Gabriel Herczeg , Vasudev Shyam

A four-dimensional asymptotic expansion scheme is used to study the next order effects of the nonlinearity near a spinning dynamical black hole. The angular momentum flux and energy flux formula are then obtained by asymptotic expansion and…

General Relativity and Quantum Cosmology · Physics 2013-10-08 Chih-Hung Wang , Yu-Huei Wu

Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and a Killing horizon of…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Alex B. Nielsen , Andrey A. Shoom

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

The collapse of astrophysically significant bodies generates, under suitable conditions, black holes. Since one expects the generator of the black hole to be a rotating body, the black hole will also rotate. The existence of inner…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Ramón Torres

A conformal transformation of a static or stationary spacetime by a time dependent conformal scale factor ${S(\tau )}^2$ is one of the methods of producing a cosmological spacetime. Using this knowledge and Brans-Dicke (BD) field equations,…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Dilek K. Çiftci , Ali Demirözlü

Application of concepts like black hole and event horizon in cosmological context are not trivial, as has been shown in the last decade. We introduce special solutions of the LTB family representing collapsing over-dense regions extending…

Astrophysics · Physics 2014-11-18 J. T. Firouzjaee , Reza Mansouri

Event Horizon, a null hypersurface defining the boundary of the black hole region of a spacetime, is not particularly useful for evolving black holes since it is non-local in time. Instead, one uses the more tangible concept of Apparent…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Emel Altas , Bayram Tekin

Weyl conformal symmetry can solve the problem the spacetime singularities present in Einstein's gravity. In a recent paper, two of us have found a singularity-free rotating black hole solution in conformal gravity. In addition to the mass…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Cosimo Bambi , Zheng Cao , Leonardo Modesto

Using the FermiDirac distribution function, Balart and Vagenas gave a charged spherically symmetric regular black hole, which is a solution of Einstein field equations coupled to a nonlinear electrodynamics. In fact, the regular black hole…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We construct a scalar polynomial curvature invariant that transforms covariantly under a conformal transformation from any spherically symmetric metric. This invariant has the additional property that it vanishes on the event horizon of any…

General Relativity and Quantum Cosmology · Physics 2017-04-26 David D. McNutt , Don N. Page

We study the wave equation for a stationary Lorentzian metric in the case of two space dimensions. Assuming that the metric has a singularity of the appropriate form, surrounded by an ergosphere which is a smooth Jordan curve, we prove the…

Mathematical Physics · Physics 2016-08-10 Gregory Eskin , Michael A Hall

Constructing spacetime solutions that describe black holes embedded in dark matter environments is a crucial step toward probing the properties of dark matter in the strong-field regime of gravity. At present, however, there is no unique or…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Gabriel Gomez