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We study the images of black holes by gluing two Schwarzschild spacetimes with a thin shell where the Israel junction conditions are satisfied. By studying the refraction law for null geodesics at the spherical shell, and taking account of…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Li-Ming Cao , Long-Yue Li , Xia-Yuan Liu

In this work, we investigate observable signatures of a magnetically charged Anti-de Sitter black hole in string-inspired Euler-Heisenberg theory. We analyze photon trajectories, the photon sphere, and the resulting black hole shadow. We…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Faizuddin Ahmed , Mohsen Fathi , Ahmad Al-Badawi

In this paper, we base our analysis on the assumption that the existence of a photon sphere is an intrinsic feature of any ultra-compact gravitational structure with spherical symmetry. Utilizing the concept of a topological photon sphere,…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Mohammad Ali S. Afshar , Jafar Sadeghi

In this paper, we employ a general relativistic formalism and develop new theoretical tools that allow us to analytically express the mass and electric charge of the Reissner-Nordstr\"{o}m black hole as well as its distance to a distant…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Gerardo Morales-Herrera , Pablo Ortega-Ruiz , Mehrab Momennia , Alfredo Herrera-Aguilar

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

We find simple expressions for velocity of massless particles in dependence of the distance $r$ in Schwarzschild coordinates. For massive particles these expressions put an upper bound for the velocity. Our results apply to static…

General Relativity and Quantum Cosmology · Physics 2011-05-19 I. Arraut , D. Batic , M. Nowakowski

The Schwarzschild spacetime metric of negative mass is well-known to contain a naked singularity. In a spacelike slice, this singularity of the metric is characterized by the property that nearby surfaces have arbitrarily small area. We…

Differential Geometry · Mathematics 2013-09-11 Hubert L. Bray , Jeffrey L. Jauregui

Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner Nordstr\"om black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC)…

High Energy Physics - Theory · Physics 2018-10-18 Marija Dimitrijević Ćirić , Nikola Konjik , Andjelo Samsarov

We investigate the evolution of a scalar field propagating in Reissner--Nordstr\"{o}m Anti--de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have…

High Energy Physics - Theory · Physics 2009-10-31 B. Wang , C. Molina , E. Abdalla

Photon sphere has attracted significant attention since the capture of black hole shadow images by Event Horizon Telescope. Recently, a number of studies have highlighted that the number of photon spheres and their distributions near black…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Chen-Kai Qiao

We evaluate the quasinormal modes of massless scalar field around Reissner-Nordstr$\ddot{\text{o}}$m black hole surrounded by a static and spherically symmetric quintessence by using the continued fraction method. The appropriate Frobenius…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Chen Wu

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

We give the necessary and sufficient (local) conditions for a metric tensor to be a non conformally flat spherically symmetric solution. These conditions exclusively involve explicit concomitants of the Riemann tensor. As a direct…

General Relativity and Quantum Cosmology · Physics 2012-04-19 Joan Josep Ferrando , Juan Antonio Sáez

The article considers the space-time structure of a charged black hole in the nonlinear Born-Infeld electrodynamics. We are discussing a special state of such a black hole in the form of a "black point" with a doubly degenerate horizon, for…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Vladimir Sokolov

We investigate the existence of Reissner-Nordstr\"om (RN) type black holes in f(R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS)…

General Relativity and Quantum Cosmology · Physics 2013-09-19 S. Habib Mazharimousavi , M. Kerachian , M. Halilsoy

Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-07-15 Seyed Hossein Hendi

The event horizon of the Schwarzschild black hole has been well studied and the singular behavior of the Schwarzschild metric on horizon is understood as a coordinate singularity rather than an essential singularity. One demonstration of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 A. T. Eberlein , C. N. Pope

In the Einstein-Maxwell theory with nonlinear electrodynamics (NED) fields, the singularity problem in general relativity is potentially resolved, leading to regular black hole solutions. In NED theories, photons follow null geodesics of an…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Rahul Kumar Walia

A multidimensional model with (at most) one curved factor space and n Ricci-flat internal spaces is considered, with arbitrary numbers of dilatonic scalar fields and antisymmetric forms of both electric and magnetic types, associated with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , V. D. Ivashchuk , V. N. Melnikov

A screened charge by a Yukawa potential implies that the corresponding electric field is assimptotically zero far away from a small radius scaling. Considering a screened charge, we have a modified metric of type Yukawa-Reissner-Nordstr\"om…

General Physics · Physics 2016-04-11 Thiago Prudencio