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We consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Martinis , V. Mikuta-Martinis

Near-horizon conformal structure of a massive Schwarzschild black hole of mass M is analyzed using a scalar field as a simple probe of the background geometry. The near-horizon dynamics is governed by an operator which is related to the…

High Energy Physics - Theory · Physics 2007-05-23 Kumar S. Gupta

The limit of large number of dimensions localizes the gravitational field of a black hole in a well-defined region near the horizon. The perturbative dynamics of the black hole can then be characterized in terms of states in the…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its…

High Energy Physics - Theory · Physics 2025-10-06 Maciej Kolanowski , Donald Marolf , Ilija Rakic , Mukund Rangamani , Gustavo J. Turiaci

The near-horizon properties of a black hole are studied within an algebraic framework, using a scalar field as a simple probe to analyze the geometry. The operator H governing the near-horizon dynamics of the scalar field contains an…

High Energy Physics - Theory · Physics 2011-07-19 Danny Birmingham , Kumar S. Gupta , Siddhartha Sen

Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the black hole pseudospectrum programme. In this work we show that…

High Energy Physics - Theory · Physics 2024-11-25 Javier Carballo , Benjamin Withers

We obtain approximate analytical solutions of the Einstein equations close to the trapping horizon for a dynamical spherically symmetric black hole in the presence of a minimally coupled self-interacting scalar field. This is made possible…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Marco de Cesare , Roberto Oliveri

We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory…

High Energy Physics - Theory · Physics 2020-01-29 Daniel Grumiller , Wout Merbis

Long-lived configurations of massive scalar fields around black holes may form if the coupling between the mass of the scalar field and the mass of the black hole is very small. In this work we analyze the effect of self-interaction in the…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Alejandro Aguilar-Nieto , Víctor Jaramillo , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Darío Núñez

Schwarzschild black-hole interiors, bounded by event horizons and terminated by spacelike singularities, are regions where all physical observers are inevitably destroyed. In the geometric optics approximation, waves follow null geodesics…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Jeff Steinhauer , Kyriakos Destounis , Richard Brito

We analyze the possibility of inequivalent boundary conditions for a scalar field propagating in the BTZ black hole space-time. We find that for certain ranges of the black hole parameters, the Klein-Gordon operator admits a one-parameter…

High Energy Physics - Theory · Physics 2009-03-26 Sayan K Chakrabarti , Pulak Ranjan Giri , Kumar S. Gupta

We study the scattering and absorption properties of charged scalar fields on a near-extremal Reissner-Nordstr\"om black hole background. We show that in this low-temperature regime the near-horizon throat experiences large quantum…

High Energy Physics - Theory · Physics 2025-09-30 Panos Betzios , Olga Papadoulaki , Yanjun Zhou

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Bai-Hao Huang , Liu Zhao

According to a conjecture attributed to Polya and Hilbert, there is a self-adjoint operator whose eigenvalues are the the nontrivial zeros of the Riemann zeta function. We show that the near-horizon dynamics of a massive scalar field in the…

High Energy Physics - Theory · Physics 2010-03-09 Pulak Ranjan Giri

Spatially varying near-horizon fluctuations of temperature of a Schwarzschild Black Hole is considered within the Euclidean Gravity approach. We present evidence that suggests that such fluctuations in temperature are closely related with…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Anamika Avinash Pathak , Swastik Bhattacharya

Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational…

High Energy Physics - Theory · Physics 2025-01-06 Ankit Aggarwal , Nava Gaddam

We find self-adjoint extensions of the rational Calogero model in presence of the harmonic interaction. The corresponding eigenfunctions may describe the near-horizon quantum states of certain types of black holes.

High Energy Physics - Theory · Physics 2008-11-26 B Basu-Mallick , Pijush K. Ghosh , Kumar S. Gupta

Beginning with Bekenstein, many authors have considered a uniformly spaced discrete quantum spectrum for black hole horizon area. It is also believed that the huge degeneracy of these area levels corresponds to the notion of black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime.…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić
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