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Hamiltonian dynamics of gravitational field contained in a spacetime region with boundary $S$ being a null-like hypersurface (a wave front) is discussed. Complete Hamiltonian formula for the dynamics (with no surface integrals neglected) is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. Czuchry , J. Jezierski , J. Kijowski

We discuss thermodynamical stability for hairy black hole spacetimes, viewed as defects in the thermodynamical parameter space, taking into account the backreaction of a secondary hair onto the spacetime geometry, which is modified non…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Nikos Chatzifotis , Panagiotis Dorlis , Nick E. Mavromatos , Eleftherios Papantonopoulos

A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations of an extreme Reissner-Nordstrom (RN)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

We present a novel theorem regarding light rings in a stationary spacetime with an ergoregion. We prove that any stationary, axisymmetric, and asymptotically flat spacetime in 1 + 3 dimensions with an ergoregion must have at least one light…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Rajes Ghosh , Sudipta Sarkar

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Emparan , Robert C. Myers

In the context of higher dimensional braneworld scenario, we have argued that the occurrence of horizonless exotic compact objects, as an alternative to classical black holes, are more natural. These exotic compact objects carry a…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Ramit Dey , Shauvik Biswas , Sumanta Chakraborty

This paper numerically studies if the stability of a stable black hole is robust against the small perturbation on geometry near its event horizon. As a toy model, it encodes the such perturbation into deformations of Regge-Wheeler…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Zhan-Feng Mai , Run-Qiu Yang

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various…

High Energy Physics - Theory · Physics 2015-05-20 Saugata Chatterjee , Maulik Parikh , Sudipta Sarkar

We study a six-dimensional braneworld model with infinite warped extra dimensions in the case where the four-dimensional brane is described by a topological vortex of a U(1) symmetry-breaking Abelian Higgs model in presence of a negative…

High Energy Physics - Theory · Physics 2009-11-10 Christophe Ringeval , Patrick Peter , Jean-Philippe Uzan

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no…

High Energy Physics - Theory · Physics 2010-12-03 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

Quantum fields in curved spacetime exhibit a wealth of effects like Hawking radiation from black holes. While quantum field theory in black holes can only be studied theoretically, it can be tested in controlled laboratory experiments. In…

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Alberto Sánchez

We develop and significantly generalize the effective worldvolume theory for higher-dimensional black holes recently proposed by the authors. The theory, which regards the black hole as a black brane curved into a submanifold of a…

High Energy Physics - Theory · Physics 2014-11-20 Roberto Emparan , Troels Harmark , Vasilis Niarchos , Niels A. Obers

The gravitational force harbours a fundamental instability against collapse. In standard General Relativity without Quantum Mechanics, this implies the existence of black holes as natural, stable solutions of Einstein's equations. If one…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Gerard 't Hooft

I review elements of the foundations of black-hole theory with attention to problematic issues, and describe some techniques which either seem to help with the difficulties or at least investigate their scope. The definition of black holes…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Adam D. Helfer

This paper contains the second part of a two-part series on the stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. We continue our study of solutions to the linear wave equation on a suitable…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefanos Aretakis

The scattering process of a dynamic perturbation impinging on a draining-tub model of an acoustic black hole is numerically solved in the time domain. Analogies with real black holes of General Relativity are explored by using recently…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Cherubini , F. Federici , S. Succi , M. P. Tosi

This article is concerned with the incompressible, infinite depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity…

Analysis of PDEs · Mathematics 2018-10-31 Mihaela Ifrim , Daniel Tataru

Motivated by the need to conceive freely-precessing gyroscopes for detecting acoustic frame-dragging predicted recently in rotating acoustic analogue black holes, we report an incipient investigation on the hydrodynamics of nematic active…

General Relativity and Quantum Cosmology · Physics 2018-08-14 Amitava Banerjee , Ratna Koley , Parthasarathi Majumdar

Analogue black holes, which can mimic the kinetic aspects of real black holes, have been proposed for many years. The growth of the radial momentum of test particles toward the acoustic horizon is calculated for acoustic black holes in flat…

High Energy Physics - Theory · Physics 2022-04-29 QingBing Wang , Xian-Hui Ge