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The Galactic Centre S-stars orbiting the central supermassive black hole reach velocities of a few percent of the speed of light. The GR-induced perturbations to the redshift enter the dynamics via two distinct channels. The post-Newtonian…

Astrophysics of Galaxies · Physics 2010-08-09 Raymond Angelil , Prasenjit Saha

We discuss in detail the semiclassical approximation for the CGHS model of two-dimensional dilatonic black holes. This is achieved by a formal expansion of the full Wheeler-DeWitt equation and the momentum constraint in powers of the…

High Energy Physics - Theory · Physics 2016-09-06 J. -G. Demers , C. Kiefer

The motion of charged test-particles in the gravitational field of a rotating and electromagnetically charged black hole as described by the Kerr-Newman metric is considered. We completely classify the colatitudinal and radial motion on the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Eva Hackmann , Hongxiao Xu

This thesis aims to explore the properties of the motion of finite size, compact test bodies around a Kerr black hole in the small mass-ratio approximation. The small body is modelled as a perturbation of Kerr geometry, neglecting its…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Adrien Druart

This short paper derives the constant of motion of a scalar field in the gravitational field of a Kerr black hole which is associated to a Killing tensor of that space-time. In addition, there is found a related new symmetry operator S for…

General Relativity and Quantum Cosmology · Physics 2012-09-21 Horst R. Beyer , Irina Holmes

We study the second-order scalar perturbations in the conventional $\Lambda$CDM Universe within the cosmic screening approach. The analytic expressions for both the velocity-independent and velocity-dependent second-order scalar…

General Relativity and Quantum Cosmology · Physics 2019-06-21 Maxim Eingorn , N. Duygu Guran , Alexander Zhuk

We study perturbations induced by a light particle scattering off a Schwarzschild black hole. Exploiting recent results for the wave propagation in this geometry, we derive the fields that this process induces on the horizon to leading…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Andrea Cipriani , Francesco Fucito , Carlo Heissenberg , Jose Francisco Morales , Rodolfo Russo

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Donato Bini , Thibault Damour

We derive the Teukolsky equation for perturbations of a Kerr spacetime when the spacetime metric is written in either ingoing or outgoing Kerr-Schild form. We also write explicit formulae for setting up the initial data for the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manuela Campanelli , Gaurav Khanna , Pablo Laguna , Jorge Pullin , Michael P. Ryan

The inspiral merger time for two black holes captured into a nonrelativistic bound orbit by gravitational radiation emission has been often calculated by a formula of Peters that assumes the adiabatic approximation that the changes per…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Don N. Page

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

In X-ray binaries, several percent of the compact object luminosity is intercepted by the surface of the normal companion and re-radiated through Compton reflection and the K-fluorescence. This reflected emission follows the variability of…

Astrophysics · Physics 2009-10-31 A. Vikhlinin

Instead of the much more involved covariant counterterm method, we apply the well justified background subtraction method to calculate the first order corrections to Kerr-AdS black hole thermodynamics induced by the higher derivative terms…

High Energy Physics - Theory · Physics 2025-12-19 Wei Guo , Xiyao Guo , Xin Lan , Hongbao Zhang , Wei Zhang

The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Xiang-hao Chu , Yi-qing Chu , Shou-shan Bao , Hong Zhang

Black hole evaporation is studied using wave packets for the modes. These allow for approximate frequency and time resolution. The leading order late time behavior gives the well known Hawking radiation that is independent of how the black…

General Relativity and Quantum Cosmology · Physics 2019-09-26 Paul R. Anderson , Raymond D. Clark , Alessandro Fabbri , Michael R. R. Good

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasi-circular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational…

General Relativity and Quantum Cosmology · Physics 2016-05-27 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

Although black holes are eminent manifestations of very strong gravity, the geometry of space-time around and even inside them can be significantly affected by additional bodies present in their surroundings. We study such an influence…

General Relativity and Quantum Cosmology · Physics 2016-08-23 O. Semerák , M. Basovník

We investigate proper infall times in the Schwarzschild and Kerr spacetimes from a covariant perspective, focusing on the role of black--hole rotation in the focusing properties of timelike geodesic congruences.To perform a geometrically…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Erick Pasten , Claudia Alvarez , Norman Cruz

We present the analytical solutions for the trajectories of particles that spiral and plunge inward the event horizon along the timelike geodesics following general non-equatorial paths within Kerr-Newman spacetimes. Our studies encompass…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Yu-Chung Ko , Da-Shin Lee , Chi-Yong Lin

The Minkowski background intrinsic to the Kerr-Schild version of the Kerr metric provides a definition of a boosted spinning black hole. There are two Kerr-Schild versions corresponding to ingoing or outgoing principal null directions. The…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Thomas Mädler , Jeffrey Winicour