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By using the complex angular momentum approach, we prove that the quasinormal mode complex frequencies of the Schwarzschild black hole are Breit-Wigner type resonances generated by a family of surface waves propagating close to the unstable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yves Décanini , Antoine Folacci , Bruce Jensen

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

In this paper we will study the geodesic motion of massive particles, in a Schwarzschild background, with a semi-classical quantum framework called "Polymer Quantum Mechanics" (PQM) in order to investigate the black hole phenomenology…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Lorenzo Boldorini , Corrado Marzano , Giovanni Montani

The method of geodesic deviations has been applied to derive accurate analytic approximations to geodesics in Schwarzschild space-time. The results are used to construct analytic expressions for the source terms in the Regge-Wheeler and…

General Relativity and Quantum Cosmology · Physics 2015-11-26 G. Koekoek , J. W. van Holten

A novel method for calculation of the motion and radiation reaction for the two-body problem (body plus particle, the small parameter m/M being the ratio of the masses) is presented. In the background curvature given by the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alessandro D. A. M. Spallicci

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

We revisit the classic problem of gravitational wave emission by a test particle plunging into a Schwarzschild black hole both in the frequency-domain Regge-Wheeler-Zerilli formalism and in the semirelativistic approximation. We use, and…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth order algorithm for non-rotating black hole perturbations in the…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Patxi Ritter , Alessandro D. A. M. Spallicci , Sofiane Aoudia , Stephane Cordier

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

A new approach to gravitational gauge-invariant perturbation theory begins from the fourth-order Einstein-Ricci system, a hyperbolic formulation of gravity for arbitrary lapse and shift whose centerpiece is a wave equation for curvature. In…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Arlen Anderson , Andrew M. Abrahams , Chris Lea

We derive the equation governing the axial-perturbations in the space-time of a non-rotating uncharged primordial black hole (PBH), produced in early Universe, whose metric is taken as the generalized McVittie metric. The generalized…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Arnab Sarkar , Sabiruddin Molla , K. Rajesh Nayak

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

Accretion onto black holes and compact stars brings material in a zone of strong gravitational and electromagnetic fields. We study dynamical properties of motion of electrically charged particles forming a highly diluted medium (a corona)…

High Energy Astrophysical Phenomena · Physics 2010-11-12 Ondřej Kopáček , Vladimír Karas , Jiří Kovář , Zdeněk Stuchlík

Greybody factors in black hole physics modify the naive Planckian spectrum that is predicted for Hawking radiation when working in the limit of geometrical optics. We consider the Schwarzschild geometry in (3+1) dimensions, and analyze the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Petarpa Boonserm , Matt Visser

We study the motion of massive particles with electric and magnetic charges in the background of a magnetically charged Garfinkle-Horowitz-Strominger stringy black hole. We solve analytically the equations of motion of the test particles…

General Relativity and Quantum Cosmology · Physics 2017-06-07 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vásquez

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Yen-Kheng Lim

So-called "dirty" black holes are those surrounded by non-zero stress-energy, rather than vacuum. The presence of the non-zero stress-energy modifies key features of the black hole, such as the surface gravity, Regge-Wheeler equation,…

General Relativity and Quantum Cosmology · Physics 2013-08-19 Petarpa Boonserm , Tritos Ngampitipan , Matt Visser

We investigate a static, spherically symmetric black hole solution surrounded by a cloud of strings and immersed in an electromagnetic universe. By deriving the event horizon from the lapse function, we demonstrate that both the string…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

Under certain conditions, sound waves in a fluid may be governed by a Klein-Gordon equation on an `effective spacetime' determined by the background flow properties. Here we consider the draining bathtub: a circulating, draining flow whose…

General Relativity and Quantum Cosmology · Physics 2012-02-16 Sam R. Dolan , Leandro A. Oliveira , Luís C. B. Crispino
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