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The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

Quantum Physics · Physics 2009-07-07 Samuel L. Braunstein , Hans-Jürgen Sommers , Karol Życzkowski

This essay gives a very general introduction to Schwarzschild black holes. First, it focuses on some of its classical features as solutions to Einstein's theory of gravity. In the second part it discusses briefly some specific quantum…

Popular Physics · Physics 2019-01-07 Enrico M. Brehm

We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

The breakdown of Lorentz invariance, a potential signature of quantum gravity, offers a window into physics beyond general relativity. We investigate how such a violation, embodied by the Einstein-Bumblebee black hole spacetime, influences…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Yangchun Tang , Zhilong Liu , Wentao Liu , Jieci Wang

We demonstrate, for the first time, that arbitrary spherically symmetric metrics can be derived within a framework based on the coupling of two scalar fields and an electromagnetic field. We then specialize to a class of non-stationary…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Yi-bo Liang , Hong-Rong Li

In this paper, we present the solution for a Schwarzschild black-hole immersed in an electric or magnetic background field \`a la Melvin within the framework of Entangled Relativity. Previous solutions in Entangled Relativity required…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Olivier Minazzoli , Maxime Wavasseur

Recently the authors in [Phys. Rev. Lett. 125, 090401 (2020)] considered the following scenario: Alice and Bob each have half of a pair of entangled qubit state. Bob measures his half and then passes his part to a second Bob who measures…

Quantum Physics · Physics 2021-03-30 Tinggui Zhang , Shao-Ming Fei

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 black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

In this paper we present a non-singular black hole model as a possible end-product of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Manasse R. Mbonye , Demosthenes Kazanas

We investigate entanglement degradation in the vicinity of a quantum corrected black hole. We consider a biprtite system (Alice-Rob) with Alice freely falling (radially) into the event horizon of a quantum corrected black hole and Rob being…

High Energy Physics - Theory · Physics 2024-02-21 Soham Sen , Arnab Mukherjee , Sunandan Gangopadhyay

The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Gabriel Vidal , Gabriel M. Dantas , Riccardo Sturani , Gabriel Menezes

There exist two extensions to the interaction region of the Ferrari and Ibanez solution. However, no one gives the corresponding conditions for each extension. To solve this problem, we have introduced quantum effects to constrain these…

General Relativity and Quantum Cosmology · Physics 2024-01-18 Dongdong Wei , Xinhe Meng

Through two exact solution families to the Einstein equation and the one-to-one correspondence between their free parameters, we show that the ensemble of collapsars with only close-to-implementing horizon in the Schwarzschild time…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Ding-fang Zeng

We study the circular orbits of charged particles around a weakly charged Schwarzschild black hole immersed in a weak, axisymmetric magnetic field. We start by reviewing the circular orbits of neutral particles and charged particles around…

General Relativity and Quantum Cosmology · Physics 2022-08-31 A. M. Al Zahrani

With the possibility of testing massive gravity in the context of black hole physics in mind, we consider the radiation produced by a particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Yves Decanini , Antoine Folacci , Mohamed Ould El Hadj

The problem of the mutual attraction and joining of two black holes is of importance as both a source of gravitational waves and as a testbed of numerical relativity. If the holes start out close enough that they are initially surrounded by…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Richard H. Price , Jorge Pullin

In this paper we consider the collision of spinning holes using first order perturbation theory of black holes (Teukolsky formalism). With these results (along with ones, we published in the past) one can predict the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

Perturbative dynamics of gravity is investigated for high energy scattering and in black hole backgrounds. In the latter case, a straightforward perturbative analysis fails, in a close parallel to the failure of the former when the impact…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings