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We investigate the motion of extended test objects in the Schwarzschild spacetime, particularly the radial fall of two point masses connected by a massless rod of a length given as a fixed, periodic function of time. We argue that such a…

General Relativity and Quantum Cosmology · Physics 2019-03-22 Vítek Veselý , Martin Zofka

We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of earlier work of Metcalfe-Tataru, in order to establish…

Analysis of PDEs · Mathematics 2015-05-13 Jeremy Marzuola , Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

Quantifying the effects on electromagnetic waves scattered by objects of uncertain shape is key for robust design, particularly in high precision applications. Assuming small random perturbations departing from a nominal domain, the…

Computational Engineering, Finance, and Science · Computer Science 2023-08-04 Paul Escapil-Inchauspé , Carlos Jerez-Hanckes

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

Gravitational radiation and some global properties of spacetimes can only be unambiguously measured at future null infinity . This motivates the interest in reaching it within simulations of coalescing compact objects, whose waveforms are…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Alex Vañó-Viñuales

In this work we estimate the parameters of several astrophysical black holes hosted at the core of active galactic nuclei by studying the kinematics of test objects in their accretion disk. First, we derive expressions for the redshift and…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Deborah Villaraos , Alfredo Herrera-Aguilar , Mehrab Momennia , Ulises Nucamendi

Two quantum-corrected black hole models have recently been proposed within the Hamiltonian constraints approach to quantum gravity, maintaining general covariance \cite{Zhang:2024khj}. We have studied the quasinormal spectra of these black…

General Relativity and Quantum Cosmology · Physics 2025-05-28 R. A. Konoplya , O. S. Stashko

In this paper we focus on the partial wave method with the aim of exploring the scattering of massless scalar waves due to the noncommutative Schwarzschild black hole via Lorentzian smeared mass distribution. We determine the phase shift…

High Energy Physics - Theory · Physics 2020-03-04 M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We consider a spacetime foam model of the Schwarzschild horizon, where the horizon consists of Planck size black holes. According to our model the entropy of the Schwarzschild black hole is proportional to the area of its event horizon. It…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jarmo Makela , Ari Peltola

This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic analysis of gravitational radiation under astrophysically realistic setups. It provides an overview of the physical ideas involved in setting up the…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Lionor Kehrberger

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

Relativistic quantum metrology provides an optimal strategy for the estimation of parameters encoded in quantum fields in flat and curved spacetime. These parameters usually correspond to physical quantities of interest such as proper…

Quantum Physics · Physics 2017-05-25 Dominik Šafránek , Jan Kohlrus , David Edward Bruschi , Antony R. Lee , Ivette Fuentes

The formation of black holes by the gravitational collapse of stars is known to spontaneously excite particle pairs out of the quantum vacuum. For the canonical vacuum state at past null infinity, the expected number of particles received…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Pedro Duarte Baptista , Alex Vañó-Viñuales , Adrían del Río

We investigate the excitation of quasi-normal modes (QNMs) in gravitational lensing by a Schwarzschild black hole using a scalar field model. By employing a time-domain mode-sum method, we analyze the complex interplay between an incident…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Chengjiang Yin , Zihao Lin , Jian-hua He

We investigate the geodesics of a Schwarzschild spacetime embedded in an isotropic expanding cosmological background (McVittie metric). We focus on bound particle geodesics in a background including matter and phantom dark energy with…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Ioannis Antoniou , Leandros Perivolaropoulos

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The…

High Energy Physics - Theory · Physics 2022-01-11 Nava Gaddam , Nico Groenenboom , Gerard 't Hooft

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

We address the issue of precisely estimating small parameters encoded in a general linear transformation of the modes of a bosonic quantum field. Such Bogoliubov transformations frequently appear in the context of quantum optics. We provide…

Quantum Physics · Physics 2015-08-10 Nicolai Friis , Michalis Skotiniotis , Ivette Fuentes , Wolfgang Dür