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The surface gravity of any Killing horizon, in any spacetime dimension, can be interpreted as a local, two-dimensional expansion rate seen by freely falling observers when they cross the horizon. Any two-dimensional congruence of geodesics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ted Jacobson , Renaud Parentani

We discuss how the surface gravity can be classically defined for dynamical black holes. In particular we focus on defining the surface gravity for locally defined horizons and compare a number definitions proposed in the literature. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alex B. Nielsen , Jong Hyuk Yoon

We investigate the mechanics of stationary axisymmetric non-Killing horizons, which emerge in spacetimes that do not enjoy the symmetry known as circularity -- as is commonly the case for rotating black holes beyond general relativity.…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Del Porro , Jacopo Mazza

In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 J. J. Relancio , S. Liberati

We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Alan Coley , David McNutt

Repulsive gravity is a well known characteristic of naked singularities. In this work, we explore light surfaces and find new effects of repulsive gravity. We compare Kerr naked singularities with the corresponding black hole counterparts…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Daniela Pugliese , Hernando Quevedo

Surface gravity plays a pivotal role in the characterization of black holes and also in formulating the laws of black hole thermodynamics. Despite its significance, defining surface gravity in general spacetimes is a nontrivial task and…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Pravin Kumar Dahal

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

There are many logically and computationally distinct characterizations of the surface gravity of a horizon, just as there are many logically rather distinct notions of horizon. Fortunately, in standard general relativity, for stationary…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Bethan Cropp , Stefano Liberati , Matt Visser

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

This thesis explores two avenues into understanding the physics of black holes and horizons beyond general relativity, via analogue models and Lorentz violating theories. Analogue spacetimes have wildly different dynamics to general…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Bethan Cropp

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

Using minimalist assumptions we develop a natural functional decomposition for the spacetime metric, and explicit tractable formulae for the surface gravities, in arbitrary stationary circular (PT symmetric) axisymmetric spacetimes. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Joshua Baines , Matt Visser

Here we consider the generalized Oppenheimer-Snyder collapse of a star into a four-dimensional Einstein-Gauss-Bonnet black hole as well as a class of regular black holes labeled by the polytropic index of the stellar matter. We then analyze…

General Relativity and Quantum Cosmology · Physics 2024-10-01 A. Sadeghi , F. Shojai , F. Bahmani

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The…

High Energy Physics - Theory · Physics 2022-01-11 Nava Gaddam , Nico Groenenboom , Gerard 't Hooft

For binary systems of corotating black holes, the zeroth law of black hole mechanics states that the surface gravity is constant over each component of the horizon. Using the approximation of a conformally flat spatial metric, we compute…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Alexandre Le Tiec , Philippe Grandclément

We discuss geometrical properties of the horizon surface of five-dimensional rotating black holes and black rings. Geometrical invariants characterizing these 3D geometries are calculated. We obtain a global embedding of the 5D rotating…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valeri P. Frolov , Rituparno Goswami

For a Kerr black hole perturbed by a particle on the "corotating" circular orbit (angular velocity equal to that of the unperturbed event horizon), the black hole remains in equilibrium in the sense that the perturbed event horizon is a…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Samuel E. Gralla , Alexandre Le Tiec

We study the method of calculating the Hawking radiation via gravitational anomalies in gravitational backgrounds of constant negative curvature. We apply the method to topological black holes and also to topological black holes conformally…

High Energy Physics - Theory · Physics 2009-07-24 Eleftherios Papantonopoulos , Petros Skamagoulis
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