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We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

The magnetic field is one of the most important constituents of the cosmic space and one of the main sources of the dynamics of interacting matter in the universe. The astronomical observations imply the existence of a strong magnetic…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Juhua Chen , Hao Liao , Yongjiu Wang

Obtaining black hole solutions in alternative theories of gravity can be a difficult task due to cumbersome field equations that arise in many of such theories. In order to study the strong field regime in a model-free approach, one can…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Renan B. Magalhães , Luiz C. S. Leite , Luís C. B. Crispino

Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism for first-order perturbations about a Schwarzschild background that includes first-order corrections due to the background black-hole spin. Using this formalism, we…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We investigate the wave optics in the Schwarzschild spacetime. Applying the standard formalism of wave scattering problems, the Green function represented by the sum over the partial waves is evaluated using the Poisson sum formula. The…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yasusada Nambu , Sousuke Noda

Particle scattering and radiation by a magnetically charged, dilatonic black hole is investigated near the extremal limit at which the mass is a constant times the charge. Near this limit a neighborhood of the horizon of the black hole is…

High Energy Physics - Theory · Physics 2009-09-17 S. B. Giddings , A. Strominger

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

Gravitational waves can teach us not only about sources and the environment where they were generated, but also about the gravitational interaction itself. Here we study the features of gravitational radiation produced during the scattering…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Seth Hopper , Vitor Cardoso

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

We present a study of scattering of massless planar scalar waves by a charged non-rotating black hole. Partial wave methods are applied to compute scattering and absorption cross sections, for a range of incident wavelengths. We compare our…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Luis C. B. Crispino , Sam R. Dolan , Ednilton S. Oliveira

A covariant formalism for physical perturbations propagating along a string in an arbitrary curved spacetime is developed. In the case of a stationary string in a static background the propagation of the perturbations is described by a…

High Energy Physics - Theory · Physics 2009-10-22 Arne L. Larsen , Valery P. Frolov

We study environmental echoes induced by a weak potential barrier outside a Schwarzschild black hole. In the low-finesse limit, the time domain response is governed by a sequence of transient wave packets formed by finite round-trip…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Han-Wen Hu , Cheng-Jun Fang , Zong-Kuan Guo

We analyze the scattering of a planar monochromatic electromagnetic wave incident upon a Schwarzschild black hole. We obtain accurate numerical results from the partial wave method for the electromagnetic scattering cross section, and show…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Luís C. B. Crispino , Sam R. Dolan , Ednilton S. Oliveira

Ultrahigh-energy string scattering is investigated to clarify the relative role of string and gravitational effects, and their possible contributions to nonlocal behavior. Different regimes can be characterized by varying the impact…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , David J. Gross , Anshuman Maharana

The ultrarelativistic limit of the Kerr - Newman geometry is studied in detail. We find the gravitational shock wave background associated with this limit. We study the scattering of scalar fields in the gravitational shock wave geometries…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. O. Lousto , N. Sánchez

A pair of simple wave equations is presented for the symmetric gravitational and electromagnetic perturbations of a charged black hole. One of the equations is uncoupled, and the other has a source term given by the solution of the first…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Zolt'an Perj'es

We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1 and 2. These results…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Yves Décanini , Antoine Folacci

The string propagation in the two-dimensional stringy black-hole is investigated from a new approach. We completely solve the classical and quantum string dynamics in the lorentzian and euclidean regimes. In the lorentzian case all the…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , J. Ramírez Mittelbrun , M. Ramón Medrano , N. Sánchez

This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

Perturbations form an important section of black hole analyses. This paper deals with the effect of perturbations as in the delineation of waves that occur. It makes use of the spin coefficients from [3] to represent the general equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kartheek R Solipuram