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We examine the spectrum of a massive scalar particle interacting with the strong gravitational field of a static, spherically symmetric object which is not quite massive enough to be a black hole. As was found in the case of massless…

General Relativity and Quantum Cosmology · Physics 2014-11-20 G. H. Gossel , J. C. Berengut , V. V. Flambaum

We extend the work of Oppenheimer & Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Jayashree Balakrishna , Ruxandra Bondarescu , Christine Corbett Moran

We consider quantum communication schemes where quantum optical signals are exchanged between a source on Earth and a satellite. The background curved spacetime affects the quantum state of the propagating photons. We employ…

Quantum Physics · Physics 2019-04-02 Jan Kohlrus , David Edward Bruschi , Ivette Fuentes

We investigate a foliation of Schwarzschild spacetime determined by observers freely falling in the radial direction. This is described using a generalisation of Gullstrand-Painlev\'e coordinates which allows for any possible radial…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Colin MacLaurin

We study gravitational lensing by $k-n$ generalized black-bounce space-times both in regimes of weak and strong field approximations. These metrics interpolate between regular black holes and one-way or traversable wormholes. First, we…

General Relativity and Quantum Cosmology · Physics 2025-04-29 C. Furtado , A. L. A. Moreira , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

Searching for a weak signal at an unknown frequency is a canonical task in experiments probing fundamental physics such as gravitational-wave observatories and ultra-light dark matter haloscopes. These state-of-the-art sensors are limited…

Timelike orbits in curved spacetimes encode intrinsic information about the background geometry and serve as critical probes for investigating gravitational theories and source distributions. In this study, we investigate strictly closed…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Shijie Tan , Chunhua Jiang , Dan Li , Shiyang Hu , Chen Deng , Wenbin Lin

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

We study null rays propagation in a spacetime of static Schwarzschild--Tangherlini black holes in arbitrary number of dimensions. We focus on the bending angle and the retarded time delay for rays emitted in the vicinity of a black hole and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Patrick Connell , Valeri P. Frolov

The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz

Black holes in our Universe are rarely truly isolated, being instead embedded in astrophysical environments such as plasma or dark matter. A particularly intriguing possibility is that light scalar fields form bound states around black…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Della Rocca , Thomas F. M. Spieksma , Francisco Duque , Leonardo Gualtieri , Vitor Cardoso

Our aim in this work is to outline some physical consequences of the interaction between black holes and scalar field halos in terms of gravitational waves. In doing so, the black hole is taken as a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Darío Núnez , Juan Carlos Degollado , Claudia Moreno

We prove the nonlinear stability of the Schwarzschild spacetime under axially symmetric polarized perturbations, i.e. solutions of the Einstein vacuum equations for asymptotically flat $1+3$ dimensional Lorentzian metrics which admit a…

General Relativity and Quantum Cosmology · Physics 2018-12-24 Sergiu Klainerman , Jeremie Szeftel

This is a study of a monochromatic planar perturbation impinging upon a canonical acoustic hole. We show that acoustic hole scattering shares key features with black hole scattering. The interference of wavefronts passing in opposite senses…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Sam R. Dolan , Ednilton S. Oliveira , Luís C. B. Crispino

We estimate the degree of squeezing possible in gravitational waves due to nonlinear gravitational effects in the weakly perturbative regime. Using the predicted amplitude ratios for higher harmonic generation in the ringdown phase of a…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Sreenath K. Manikandan , Frank Wilczek

We quantize the Schwarzschild spacetime with naked singularity using the affine coherent states quantization method. The novelty of our approach is quantization of both temporal and spatial coordinates. Quantization smears the gravitational…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Andrzej Góźdź , Aleksandra Pȩdrak , Włodzimierz Piechocki

We study grey-body factors for a massless scalar field in the spacetime of regular black holes arising in four-dimensional non-polynomial quasi-topological gravity. We consider two representative metrics that capture the typical features of…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Alexey Dubinsky

The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

Quadratic quasi-normal modes, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

The Schwarzschild spacetime is for electromagnetic waves like a nonuniform medium with a varying refraction index. A fraction of an outgoing radiation scatters off the curvature of the geometry and can be intercepted by a gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Malec
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