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The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh

In semiclassical gravity, the vacuum expectation value ${\langle\hat{N}\rangle}$ of the particle number operator for a quantum field gives rise to the perception of thermal radiation in the vicinity of a black hole. This Hawking effect has…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Tyler McMaken , Andrew J. S. Hamilton

Black hole entropy has been shown by 't Hooft to diverge at the horizon. The region near the horizon is in a thermal state, so entropy is linear to energy which consequently also diverges. We find a similar divergence for the energy of the…

High Energy Physics - Theory · Physics 2011-06-24 Ram Brustein , Judy Kupferman

It is shown that the surface gravity and temperature of a stationary black hole are invariant under conformal transformations of the metric that are the identity at infinity. More precisely, we find a conformal invariant definition of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Ted Jacobson , Gungwon Kang

It is expected that the cosmological black holes are the closest realistic solutions of gravitational theories and they evolve with time. Moreover, the natural way of defining thermodynamic entities for the stationary ones is not applicable…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Daniele Pranzetti

It might be tempting to consider that the two-dimensional anti-de Sitter black hole in the Jackiw-Teitelboim model is thermally hot by invoking the non-vanishing surface gravity. So, one might expect that the local temperature would also be…

General Relativity and Quantum Cosmology · Physics 2019-10-14 Wontae Kim

We investigate an important question of Hawking-like radiation as seen by an infalling observer during gravitational collapse. Using the functional Schrodinger formalism we are able to probe the time dependent regime which is out of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Eric Greenwood , Dejan Stojkovic

Analyzing exact solutions of the Einstein-Maxwell equations in the Kerr-Schild formalism we show that black hole horizon is instable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact…

General Relativity and Quantum Cosmology · Physics 2010-03-18 Alexander Burinskii

We give an account of the physical behaviour of a quasiparticle horizon due to non-Lorentz invariant modifications of the effective space-time experienced by the quasiparticles (``matter'') for high momenta. By introducing a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Uwe R. Fischer , Grigori E. Volovik

We study the classical stability of a class of S-brane geometries having cosmological horizons. By considering the perturbations of the metric in these geometries we establish that their horizons are unstable in the sense that an observer…

High Energy Physics - Theory · Physics 2009-11-10 C. P. Burgess , P. Martineau , F. Quevedo , G. Tasinato , I. Zavala

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan

This article is devoted to investigate the effects of $f(R)$ theory in the dynamics of a massless particle near the horizon of a static spherically symmetric (SSS) black hole. Deriving the equations of motion within $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Surajit Das , Surojit Dalui

Black hole apparent horizons possess a natural notion of stability, whose spectral characterization can be related to the problem of the stationary quantum charged particle. Such mathematical relation leads to an "analyticity conjecture" on…

General Relativity and Quantum Cosmology · Physics 2016-08-23 José Luis Jaramillo

It is shown that static solutions with a finite curvature at the horizon may exist in dilaton gravity at temperatures $T\neq T_{H}$ (including T=0) where $T_{H} $is the Hawking one. Hawking radiation is absent and the state of a system…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

The boundary of any observer's spacetime is the boundary that divides what the observer can see from what they cannot see. The boundary of an observer's spacetime in the presence of a black hole is not the true (future event) horizon of the…

General Relativity and Quantum Cosmology · Physics 2018-05-17 Andrew J. S. Hamilton

We study the evolution of charged, asymptotically de Sitter black holes close to the cold extremal branch of the phase space. We consider black hole sizes that are parametrically smaller than both their inverse temperature and the…

High Energy Physics - Theory · Physics 2025-10-22 Arindam Bhattacharjee , Muktajyoti Saha

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric…

High Energy Physics - Theory · Physics 2018-09-19 Clement Berthiere , Debajyoti Sarkar , Sergey N. Solodukhin

The instability against emission of fermionic particles by the trapping horizon of an evolving black hole is analyzed using the Hamilton-Jacobi tunneling method. This method automatically selects one special expression for the surface…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Di Criscienzo , Luciano Vanzo