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This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Yasuyuki Hatsuda , Masashi Kimura

Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a $D$-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Carlos R. Ordonez

In this work, we investigate the quasinormal frequencies of a class of regular black hole solutions which generalize Bardeen and Hayward spacetimes. In particular, we analyze scalar, vector and gravitational perturbations of the black hole…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Ángel Rincón , Victor Santos

In the semiclassical treatment of gravity, an external observer can measure only the mean (not the exact) mass of the black hole (BH). By contrast, in fully quantum gravity the exact (not only mean) BH mass is measurable by the external…

General Relativity and Quantum Cosmology · Physics 2008-06-10 H. Nikolic

In previous work [1] we proposed an improvement of the WKB-based semianalytic technique of Iyer and Will for calculation of the quasiormal modes of black holes by constructing the Pad\'e approximants of the formal series for $\omega^{2}.$…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jerzy Matyjasek , Malgorzata Telecka

We investigate black hole quasinormal modes using the exact WKB method. We perform an analytic continuation from the horizon to infinity along the positive real axis of the radial coordinate and impose appropriate boundary conditions at…

High Energy Physics - Theory · Physics 2025-07-10 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

A new form of quasiclassical space-time dynamics for constrained systems reveals how quantum effects can be derived systematically from canonical quantization of gravitational systems. These quasiclassical methods lead to additional fields,…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Kallan Berglund , Martin Bojowald , Manuel Diaz , Gianni Sims

We discuss energy conditions and quasinormal modes for scalar perturbations of regular charged black holes within the framework of General Relativity coupled to non-linear electrodynamics. The frequencies are computed numerically adopting…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonardo Balart , Grigoris Panotopoulos , Ángel Rincón

We present a coherent picture of the quantum mechanics of black holes. The picture does not require the introduction of any drastically new physical effect beyond what is already known; it arises mostly from synthesizing and…

High Energy Physics - Theory · Physics 2015-06-19 Yasunori Nomura , Sean J. Weinberg

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

General Relativity and Quantum Cosmology · Physics 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

This thesis is focussed to study various aspects of black hole physics. Our approach is a semi-classical type, where the spacetime geometry of black holes is considered to be classical but the fields moving in the background are quantum in…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Sujoy Kumar Modak

The exactness of the semiclassical method for three-dimensional problems in quantum mechanics is analyzed. The wave equation appropriate in the quasiclassical region is derived. It is shown that application of the standard leading-order WKB…

Quantum Physics · Physics 2012-07-02 M. N. Sergeenko

By using the quantum tunneling approach over semiclassical approximations, we study the quantum corrections to the Hawking temperature, entropy and Bekenstein-Hawking entropy-area relation for a black hole lying on a brane.

General Relativity and Quantum Cosmology · Physics 2011-06-30 Mubasher Jamil , Farhad Darabi

Based on the analysis of two dimensional dilaton gravity we argue that the semiclassical equations of black hole formation and evaporation should not be interpreted in terms of expectation values of operators in the exact quantum theory,…

General Relativity and Quantum Cosmology · Physics 2010-11-01 S. P. de Alwis , D. A. MacIntire

We calculate the quasi-normal modes of black holes localized on a 3-brane of finite tension embedded in six-dimensional flat spacetime. Using the WKB approximation, we obtain the frequencies of various types of perturbation both…

High Energy Physics - Theory · Physics 2008-11-26 Usama A. al-Binni , George Siopsis

We study the quasinormal mode spectrum and grey-body factors of black holes in an effectively quantum-corrected spacetime, focusing on the influence of near-horizon modifications on observable quantities. Employing scalar, electromagnetic,…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Bekir Can Lütfüoğlu , Erdinç Ulaş Saka , Abubakir Shermatov , Javlon Rayimbaev , Inomjon Ibragimov , Sokhibjan Muminov

We compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Angel Rincon , Grigoris Panotopoulos

We resolve black hole information paradox within semiclassical gravity, in a manner that does not depend on details of unknown quantum gravity. Our crucial insight is that outgoing Hawking particles are physical only far from the black hole…

High Energy Physics - Theory · Physics 2024-09-27 Hrvoje Nikolic

We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Davide Batic , N. G. Kelkar , Marek Nowakowski , Karlus Redway

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino
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