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An investigation of the perturbations of the Reissner-Nordstr\"{o}m black hole in the $N=2$ supergravity is presented. We prove in the extremal limit that the black hole responds to the perturbation of each field in the same manner. We…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Hisashi Onozawa , Takashi Okamura , Takashi Mishima , Hideki Ishihara

We obtain the second-order asymptotics for the radiation field of spherically symmetric solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds including the Schwarzschild and sub-extremal…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

Near a gravitating compact object, massive particles traveling along timelike geodesics are gravitationally deflected similarly to light. In this paper, we study the deflection angles of these particles in the strong deflection limit. This…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

Gravitational lensing by the light sphere of compact objects like black holes and wormholes will give us information on the compact objects. In this paper, we provide an improved strong deflection limit analysis in a general asymptotically…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Naoki Tsukamoto

This work investigates the influence of the Lorentz symmetry breaking in the bending angle of massive particles and light for bumblebee black hole solutions. The solutions analyzed break the Lorentz symmetry due to a non-zero vacuum…

General Relativity and Quantum Cosmology · Physics 2021-05-18 I. D. D. Carvalho , G. Alencar , W. M. Mendes , R. R. Landim

The Fermat principle is advocated to be a convenient tool to analyze the light propagation in a curved space time. It is shown that in the weak deflection regime the light ray trajectories can be systematically described by applying the…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Joanna Piwnik , Joanna Gonera , Piotr Kosinski

We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine , Cristian Martinez

The exact measurement of neutrino mass remains a longstanding issue. So far, there has been much success in providing an upper bound for the neutrino rest mass, both theoretically and experimentally. In this work, by exploring the critical…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Haida Li , Xiangdong Zhang

Analytical series expansions for the bending of light in the equatorial plane of a Kerr black hole are presented in both the strong and weak deflection regimes. It is critical that these are known in analytical form so further analysis can…

General Relativity and Quantum Cosmology · Physics 2009-08-04 Savitri V. Iyer , Edward C. Hansen

We obtain an approximate solution for the motion of a charged particle around a Schwarzschild black hole immersed in a weak dipolar magnetic field. We focus on eccentric bound orbits in the equatorial plane of the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Demetrios B. Papadopoulos , Ioannis Contopoulos , Kostas D. Kokkotas , Nikolaos Stergioulas

The circular motion of charged test particles in the gravitational field of a Reissner-Nordstr\"{o}m black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological…

High Energy Physics - Theory · Physics 2019-03-12 Chandrasekhar Bhamidipati , Shrohan Mohapatra

We study the deflection of light by a magnetic dipole field in the generalized Born-Infeld electrodynamics. Using the effective index of refraction and the trajectory equation based on geometric optics, we compute the weak bending angle of…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Jin Young Kim

In this article, we study the superradiance of charged scalar fields on the sub-extremal Reissner-Nordstrom metric, a mechanism by which such fields can extract energy from a static spherically symmetric charged black hole. A geometrical…

Mathematical Physics · Physics 2015-08-06 Laurent Di Menza , Jean-Philippe Nicolas

In this paper we employ the results of a previous paper on the late-time decay of scalar-field perturbations of an extreme Reissner-Nordstrom black hole, in order to find the late-time decay of coupled electromagnetic and gravitational…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Orr Sela

A scalar field gravitational analog of the Reissner-Nordstrom solution is investigated. The nonlinear Newtonian model has an upper-limit of charge for a central mass which agrees with the general relativistic condition required for the…

General Relativity and Quantum Cosmology · Physics 2018-05-21 Michael R. R. Good

We consider a Hamiltonian quantum theory of spherically symmetric, asymptotically flat electrovacuum spacetimes. The physical phase space of such spacetimes is spanned by the mass and the charge parameters $M$ and $Q$ of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jarmo Makela , Pasi Repo

This paper studies the deflection of charged particles in a dipole magnetic field in Schwarzschild spacetime background in the weak field approximation. To calculate the deflection angle, we use Jacobi metric and Gauss-Bonnet theorem. Since…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Zonghai Li , Wei Wang , Junji Jia

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

General Relativity and Quantum Cosmology · Physics 2024-05-19 Gerhard Schäfer

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr\"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the solution is used to compute the…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Donato Bini , Gabriel Carvalho , Andrea Geralico

We consider the metric exterior to a charged dilaton black hole in a de Sitter universe. We study the motion of a test particle in this metric. Conserved quantities are identified and the Hamilton-Jacobi method is employed for the solutions…

Astrophysics · Physics 2008-11-26 Nupur Mukherjee , A. S. Majumdar