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The central equations in classical general relativity are the Einstein Field Equations, which accurately describe not only the generation of pseudo-Riemannian curvature by matter and radiation manifesting as gravitational effects, but more…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Godwill Mbiti Kanyolo , Titus Masese

Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle \phi^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Paul R. Anderson , Amanda Peake , Shohreh Gholizadeh Siahmazgi

The combined action of gravity and quantum mechanics gives rise to a minimum time uncertainty in the lowest order approximation of a perturbative scheme, in which quantum effects are regarded as corrections to the classical spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pablo Galan , Luis J. Garay , Guillermo A. Mena Marugan

A candidate parameterization is introduced, in an effective field theory framework, for the quantum information transfer from a black hole that is necessary to restore unitarity. This in particular allows description of the effects of this…

High Energy Physics - Theory · Physics 2016-10-18 Steven B. Giddings

An important feature of Schwarzschild spacetime is the presence of orbiting null geodesics and caustics. Their presence implies strong gravitational lensing effects for matter and radiation, i.e., for excitations of quantum fields. Here, we…

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

When it comes to performing thought experiments with black holes, Einstein-Bohr like discussions have to be re-opened. For instance one can ask what happens to the quantum state of a black hole when the wave function of a single ingoing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. 't Hooft

We obtain analytical expressions for distance-based quantum resources and examine their distribution in the proximity of a Schwarzschild black hole (SBH) within a curved background. For an observer in free fall and their stationary…

Quantum Physics · Physics 2024-02-20 Samira Elghaayda , Xiang Zhou , Mostafa Mansour

The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic…

General Physics · Physics 2008-03-13 Vladimir Mashkevich

Quantum field theory (QFT) describes the dynamics of quantum particles in the quantum realm in the Minkowski space-time, whereas the General Relativity (GR) is a classical theory describing the nature of dynamical behavior of large bodies…

General Physics · Physics 2025-12-31 Ty Shedleski , Muhammad Usman

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ted Jacobson

The gap between a microscopic theory for quantum spacetime and the semiclassical physics of blackholes is bridged by treating the blackhole spacetimes as highly excited states of a class of nonlocal field theories. All the blackhole…

High Energy Physics - Theory · Physics 2009-10-31 T. Padmanabhan

In recent years a statistical mechanics description of particles, fields and spacetime based on the concept of quantum open systems and the influence functional formalism has been introduced. It reproduces in full the established theory of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 B. L. Hu

First, the relation between black holes and limitations on information of other systems is developed. After reviewing the relation of entropy to information, we derive the entropy bound, review its applications to cosmology and its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

We examine the geometry of a generalized uncertainty-inspired quantum black hole. The diagonal line element is not $t$-$r$ symmetric, i.e. $g_{00} \ne -1/g_{11}$, which leads to an interesting approach to resolving the classical curvature…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Douglas M. Gingrich , Saeed Rastgoo

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

In the corpuscular picture of black hole there exists no geometric notion of horizon which, instead, only emerges in the semi-classical limit. Therefore, it is very natural to ask - what happens if we send a signal towards a corpuscular…

General Relativity and Quantum Cosmology · Physics 2021-01-06 Luca Buoninfante

We calculate the quantum correlator in Schwarzschild black hole space-time. We perform the calculation for a scalar field in three different quantum states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike circular…

High Energy Physics - Theory · Physics 2017-12-05 Claudia Buss , Marc Casals

In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Bernard Raffaelli

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov