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We describe recent work due to Niall \'O Murchadha and the author (Phys. Rev. D57, 4728 (1998)) on the late time behaviour of the maximal foliation of the extended Schwarzschild geometry which results from evolving a time symmetric slice…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Beig

We study the scalar radiation emitted by a source orbiting a Schwarzschild--anti--de Sitter black hole in circular geodesics. We obtain the emitted power using quantum field theory in curved spacetimes at tree level with reflective boundary…

General Relativity and Quantum Cosmology · Physics 2022-11-30 J. P. B. Brito , R. P. Bernar , L. C. B. Crispino

We study the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods. We begin by extending a recent perturbation theory calculation to next order to obtain Born series for the differential…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sam Dolan , Chris Doran , Anthony Lasenby

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

Motivated by the recent work about a new physical interpretation of quasinormal modes by Maggiore, we investigate the quantization of near-extremal Schwarzschild-de Sitter black holes in the four dimensional spacetime. Following…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-03 Wenbo Li , Lixin Xu , Jianbo Lu

The late-time tail behaviors of massive scalar fields are examined analytically in the background of a black hole with a global monopole. It is found that the presence of a solid deficit angle in the background metric makes the massive…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Hongwei Yu

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna

Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso , José Luis Jaramillo

We present a characteristic algorithm for computing the perturbation of a Schwarzschild spacetime by means of solving the Teukolsky equation. We implement the algorithm as a characteristic evolution code and apply it to compute the advanced…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manuela Campanelli , Roberto Gomez , Sascha Husa , Jeffrey Winicour , Yosef Zlochower

We study the causal structure of Schwarzschild-de Sitter (SdS), including shock wave perturbations, in $D>3$ using reflected null ray trajectories, either through the interior black hole or the exterior de Sitter region. Specifically, we…

High Energy Physics - Theory · Physics 2025-09-01 Mir Mehedi Faruk , Facundo Rost , Jan Pieter van der Schaar

We study perturbations of Schwarzschild-de Sitter black holes in semi-open systems by using the Heun functions. For the semi-open system, a partially reflective wall is added around the event horizon. Three aspects of this model are…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Liang-Bi Wu , Libo Xie , Li-Ming Cao , Ming-Fei Ji , Yu-Sen Zhou

Recently an anomalous decay rate of the quasinormal modes of a massive scalar field in Schwarzschild black holes backgrounds was reported in which the longest-lived modes are the ones with higher angular number, for a scalar field mass…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Almendra Aragón , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

We develop a small-data Maxwell--Higgs theory on Schwarzschild and slowly rotating Kerr black-hole exteriors for gauge-invariant nonnegative self-interactions near the trivial vacuum. The Schwarzschild part gives a complete global,…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Bobby Eka Gunara , Mulyanto , Fiki Taufik Akbar

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuele Berti , Vitor Cardoso , Andrei O. Starinets

Nonlinear effects play a fundamental role in the late-time ringdown of black holes, with direct implications for gravitational-wave observations. For massive fields, these dynamics become richer, yet their nonlinear signatures remain poorly…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Caiying Shao , Zhen-Tao He , Jiageng Jiao , Jingqi Lai , Jun-Xi Shi , Yu Tian , Dandan Yuan , Hongbao Zhang

We study the complete time evolution of scalar fields propagating in space-times of higher dimensional Lifshitz Black Holes with dynamical critical exponent $z=2$, obtained from a theory including the most general quadratic curvature…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Elcio Abdalla , Owen Pavel Fernández Piedra , Fidel Sosa Nuñez , Jeferson de Oliveira

It is shown that the conventional many-body techniques to calculate the Green's functions can be applied to the wide, compressible edge of a quantum Hall bar. The only ansatz we need is the existence of stable density modes that yields a…

Strongly Correlated Electrons · Physics 2009-10-30 J. H. Han

Using inspiral and plunge trajectories we construct with a generalized Ori-Thorne algorithm, we use a time-domain black hole perturbation theory code to compute the corresponding gravitational waves. The last cycles of these waveforms are a…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Halston Lim , Gaurav Khanna , Anuj Apte , Scott A. Hughes

Maggiore observed that, in the high-damping regime, the quasi-normal modes spectrum for the Schwarzschild black hole resembles that of a quantum harmonic oscillator. Motivated by this observation, we describe a black hole as a statistical…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Mariano Cadoni , Mauro Oi , Andrea P. Sanna
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