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The total number of Hawking quanta emitted during the evaporation of a Schwarzschild black hole is proportional to the square of the initial mass or, equivalently, to the Bekenstein entropy. This simple, but little appreciated, fact is…

High Energy Physics - Theory · Physics 2016-07-08 Wolfgang Mück

A derivation of the Hawking effect is given which avoids reference to field modes above some cutoff frequency $\omega_c\gg M^{-1}$ in the free-fall frame of the black hole. To avoid reference to arbitrarily high frequencies, it is necessary…

High Energy Physics - Theory · Physics 2009-10-22 Ted Jacobson

It is known that, in the noncommutative Schwarzschild black hole spacetime, the point-like object is replaced by the smeared object, whose mass density is described by a Gaussian distribution of minimal width $\sqrt{\theta}$ with $\theta$…

High Energy Physics - Theory · Physics 2015-03-14 Shao-Wen Wei , Yu-Xiao Liu , Zhen-Hua Zhao , Chun-E Fu

We investigate the evolution of primordial black hole mass spectrum by including both accretion of radiation and Hawking evaporation within Brans-Dicke cosmology in radiation, matter and vacuum-dominated eras. We also consider the effect of…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Debabrata Dwivedee , Bibekananda Nayak , Lambodar Prasad Singh

Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

The recent proposal of Maggiore that the periodicity of a black hole may be the origin of area quantization law is analyzed in the context of black holes in string theory. We use the period of motion of an outgoing wave, which is shown to…

General Relativity and Quantum Cosmology · Physics 2012-04-22 Alexis Larranaga

We consider quasinormal modes and Hawking radiation of four-dimensional asymptotically flat black holes in the most general up to-cubic-order-in-curvature dimension-independent Einsteinian theory of gravity that shares its graviton spectrum…

General Relativity and Quantum Cosmology · Physics 2021-09-20 R. A. Konoplya , A. F. Zinhailo , Z. Stuchlik

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

It is often argued that quantum gravitational correction to the Heisenberg's uncertainty principle leads to, among other things, a black hole remnant with finite temperature. However, such a generalized uncertainty principle also seemingly…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Yen Chin Ong

A localised particle in Quantum Mechanics is described by a wave packet in position space, regardless of its energy. However, from the point of view of General Relativity, if the particle's energy density exceeds a certain threshold, it…

General Relativity and Quantum Cosmology · Physics 2013-10-22 R. Casadio

Our understanding of black holes changed drastically, when Stephen Hawking discovered their evaporation due to quantum mechanical processes. One core feature of this effect is both its similarity and simultaneous dissimilarity to classical…

General Relativity and Quantum Cosmology · Physics 2019-01-18 Sebastian Schuster

Bekenstein-Hawking formalism of black hole thermodynamics should be modified to incorporate quantum gravitational effects. Generalized Uncertainty Principle(GUP) provides a suitable framework to perform such modifications. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , S. Hamid Mehdipour

The spacetime inside the white hole is like an anisotropic cosmological background with the past singularity playing the role of a big bang singularity. The scale factor along the extended spatial direction is contracting while the scale…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Hassan Firouzjahi , Alireza Talebian

We study the reflectivity of quantum black hole (BH) horizons using detailed balance and fluctuation-dissipation theorem, finding a universal flux reflectivity given by the Boltzmann factor ${\mathcal R} = \exp\left(-{\hbar |\omega| \over k…

High Energy Physics - Theory · Physics 2020-04-15 Naritaka Oshita , Qingwen Wang , Niayesh Afshordi

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

An insightful argument for a linear relation between the entropy and the area of a black hole was given by Bekenstein using only the energy-momentum dispersion relation, the uncertainty principle, and some properties of classical black…

High Energy Physics - Theory · Physics 2009-11-11 Giovanni Amelino-Camelia , Michele Arzano , Andrea Procaccini

The black hole area spectrum has been studied in the framework of tunneling mechanism, where a Generalized Uncertainty Principle (GUP) has been considered. The results implies in a non evenly spaced spectrum for the black hole area which…

General Physics · Physics 2011-09-21 C. A. S. Silva , R. R. Landim

The expectation value of the energy-momentum tensor and the Hawking flux of a scalar field on a Schwarzschild spacetime is calculated using the zeta-function regularisation of the heat kernel. In particular, massless particles are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Hofmann

Introducing a black hole (BH) effective temperature, which takes into account both the non-strictly thermal character of Hawking radiation and the countable behavior of emissions of subsequent Hawking quanta, we recently re-analysed BH…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Christian Corda

Classically, black Holes have the rigid event horizon. However, quantum mechanically, the event horizon of black holes becomes fuzzy due to quantum fluctuations. We study Hawking radiation of a real scalar field from a fluctuating black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Tomohiro Takahashi , Jiro Soda