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We study the effective theory of slowly rotating black holes at the infinite limit of the spacetime dimension D. This large D effective theory is obtained by integrating the Einstein equation with respect to the radial direction. The…

High Energy Physics - Theory · Physics 2016-03-23 Kentaro Tanabe

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

Astrophysical black holes are usually surrounded by an accretion disk. At least parts of these accretion disks consist of a plasma in which light rays with different energies are dispersed. However, we usually do not know the exact…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Torben C. Frost

This brief report presents analytical solutions to the equations of motion of a null string. The background spacetime is a magnetically charged Kaluza-Klein black hole. The string coordinates are expanded with the world-sheet velocity of…

High Energy Physics - Theory · Physics 2009-10-31 H. K. Jassal , A. Mukherjee

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

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

In this study, we review some current studies on Gravitational Lensing for black holes, mainly in the context of general relativity. We mainly focus on the analytical studies related to lensing with references to observational results. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Abhishek Chowdhuri , Saptaswa Ghosh , Arpan Bhattacharyya

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

After discussing some subtle issues concerning the computation of deflection angle, a general but simple expression of bending angle of light rays in weak deflection limit has been presented for a general static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-07-21 Arunava Bhadra

We investigate the intrinsic uncertainty in the accuracy to which a static spacetime can be measured from scattering experiments. In particular, we focus on the Schwarzschild black hole and a spatially kinked metric that has some…

Quantum Physics · Physics 2014-07-16 Jason Doukas , Luke Westwood , Daniele Faccio , Andrea Di Falco , Ivette Fuentes

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling onto a Schwarzschild black hole. The streamlines start at a spherical shell, where boundary conditions are…

High Energy Astrophysical Phenomena · Physics 2012-12-20 Emilio Tejeda , Sergio Mendoza , John C. Miller

The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the…

High Energy Physics - Theory · Physics 2011-02-22 Piero Nicolini

Investigating five-dimensional Schwarzschild-Tangherlini-AdS black hole, we construct a (6+2)-dimensional flat embedding structure. Exploiting this flat manifold, we evaluate a free fall temperature of the black hole in manifold ranging…

General Physics · Physics 2015-10-20 Soon-Tae Hong

We describe a large class of solutions in pure gravity, dilaton gravity and supergravity corresponding to extended higher-dimensional black holes with strong (non-linear) gravitational waves propagating along their worldvolume. For pure…

High Energy Physics - Theory · Physics 2011-04-29 Li-Ming Cao , Oleg Evnin , Nobuyoshi Ohta

We investigate the shadow of an exact black hole solution of Einstein's equations recently proposed by Cardoso et al., to describe a supermassive black hole immersed in a dark matter halo. We analyze and discuss the light rings and the…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Sérgio V. M. C. B. Xavier , Haroldo C. D. Lima Junior , Luís C. B. Crispino

We study the Schwinger effect in near-extremal nonrotating black holes in an arbitrary $D(\geq 4)$-dimensional asymptotically flat and (A)dS space. Using the near-horizon geometry $\mathrm{AdS}_2 \times \mathrm{S}^{D-2}$ of near-extremal…

High Energy Physics - Theory · Physics 2020-06-24 Rong-Gen Cai , Chiang-Mei Chen , Sang Pyo Kim , Jia-Rui Sun

In this paper we study the accretion of dark energy onto a black hole in the cases that dark energy is equipped with a positive cosmological constant and when the space-time is described by a Schwarzschild-de Sitter metric. It is shown…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Prado Martín-Moruno , Az-Eddine L. Marrakchi , Salvador Robles-Pérez , Pedro F. González-Díaz

We study an $N + 1$ dimensional generalization of the Schwarzschild black hole from the quantum mechanical viewpoint. It is shown that the mass loss rate of this higher dimensional black hole due to the black hole radiation is proportional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Oda

In the static and infalling spherical-shell models of optically thin accretion on Schwarzschild black hole, the formulas for the integrated intensities observed by a distant observer are derived, and by taking the monochromatic emission…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Bofeng Wu , En-Wei Liang , Xiao Zhang