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In a four-dimensional Schwarzschild-de Sitter background, the spherically symmetric $(\ell=0)$ contribution to the Hadamard two-point correlation function is computed for a massless minimally-coupled scalar field in the Unruh state.…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Ian M. Newsome , Silvia Pla , Paul R. Anderson

This work presents a comparative analysis of the quasi-normal modes and ringdowns of scalar field perturbations in the non-commutative Schwarzschild black hole spacetime, focusing on two distinct non-minimal curvature couplings: in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Majid Karimabadi , Davood Mahdavian Yekta , S. A. Alavi

In the spacetime of n-dimensional static charged black hole we examine the mechanism by which the self-interacting scalar hair decay. It is turned out that the intermediate asymptotic behaviour of the self-interacting scalar field is…

High Energy Physics - Theory · Physics 2009-11-11 Rafal Moderski , Marek Rogatko

We study the emergence of string instabilities in $D$ - dimensional black hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space (in static coordinates to allow a better comparison with the black hole case). We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. O. Lousto , N. Sánchez

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much…

High Energy Physics - Theory · Physics 2023-05-31 E. T. Akhmedov , K. V. Bazarov

Frequency domain studies have recently demonstrated that charged scalar fields exhibit fast growing superradiant instabilities when interacting with charged black holes in a cavity. Here, we present a time domain analysis of the long time…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Juan Carlos Degollado , Carlos A. R. Herdeiro

After considering the reference case of the motion of spinning test bodies in the equatorial plane of the Schwarzschild space-time, we generalize the results to the case of the motion of a spinning particle in the equatorial plane of the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. Mortazavimanesh , Morteza Mohseni

We investigate how quantum information, encoded in a quantum field, evolves during the expansion of spacetime. Due to information loss across the horizon, a local observer experiences this evolution as a nonunitary quantum channel. We…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Laura Niermann , Tobias J. Osborne

We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hole without symmetry assumptions on the data. We also consider electromagnetic and gravitational perturbations for which we obtain decay rates…

Analysis of PDEs · Mathematics 2012-02-06 Roland Donninger , Wilhelm Schlag , Avy Soffer

We analytically investigate the influence of a cosmic expansion on the shadow of the Schwarzschild black hole. We suppose that the expansion is driven by a cosmological constant only and use the Kottler (or Schwarzschild-deSitter) spacetime…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Volker Perlick , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

The phenomenon of spontaneous scalarization of charged black holes has attracted a lot of attention. In this work, we study the dynamical process of the spontaneous scalarization of charged black hole in asymptotically anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Wen-Kun Luo , Cheng-Yong Zhang , Peng Liu , Chao Niu , Bin Wang

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

Black holes possess trapping regions which lead to intriguing dynamical effects. By properly scattering test fields off a black hole, one can extract energy from it, leading to the growth of the amplitude of the test field in expense of the…

General Relativity and Quantum Cosmology · Physics 2019-08-30 Kyriakos Destounis

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

We investigate the power-law tails in the evolution of a charged massless scalar field around a fixed background of a dilaton black hole. Using both analytical and numerical methods we find the inverse power-law relaxation of charged fields…

High Energy Physics - Theory · Physics 2009-11-07 Rafal Moderski , Marek Rogatko

Partial differential equations exhibiting an anisotropic scaling between space and time -- such as those of Horava-Lifshitz gravity -- have a dispersive nature. They contain higher-order spatial derivatives, but remain second order in time.…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Marcelo E. Rubio , Áron D. Kovács , M. Herrero-Valea , Miguel Bezares , Enrico Barausse

The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior of the field as recorded by a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko , G. Khanna

The behaviors of the modes for a massless minimally coupled scalar field are investigated for the Unruh state for Schwarzschild spacetime and the "in" vacuum state for a spacetime in which a spherically symmetric null shell collapses to…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Alessandro Fabbri

Starting from the equation of motion of the quantum operator of a real scalar field phi in de Sitter space-time, a simple differential equation is derived which describes the evolution of quantum fluctuations <phi^2> of this field. Full de…

High Energy Physics - Theory · Physics 2009-11-11 Alexander Dolgov , Diego N. Pelliccia

Schwarzschild black holes evolve toward their static configuration by emitting gravitational waves, which decay over time following a power law at fixed spatial positions. We derive this power law analytically for the second-order even…

General Relativity and Quantum Cosmology · Physics 2025-04-09 Alex Kehagias , Antonio Riotto