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One of the main features of nonlinear electrodynamics (NED) is the existence of an effective geometry that describes the geodesic motion of photons. A detailed analysis of the properties of effective geometry is of utmost importance for a…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Marco A. A. de Paula , Haroldo C. D. Lima , Pedro V. P. Cunha , Carlos A. R. Herdeiro , Luís C. B. Crispino

Black hole photon spheres or light rings are closely linked to astronomical phenomena, such as the gravitational waves and the shadow in spherically symmetric or axi-symmetric spacetime. In Cunha and Herdeiro [Phys. Rev. Lett. 124, 181101…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Shao-Wen Wei

Following Rosen's quantization rules, two of the Authors (CC and FF) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless "star of dust" in terms of a "gravitational hydrogen atom".…

General Relativity and Quantum Cosmology · Physics 2021-01-01 C. Corda , F. Feleppa , F. Tamburini

We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

It is generally believed that the shadows of either a black hole or naked singularity arise due to photon spheres developing in these spacetimes. Here we propose a new spherically symmetric naked singularity spacetime solution of Einstein…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi , Parth Bambhaniya

We show that the method used in the Schwarzschild black hole for finding the elementary solution of the electrostatic equation in closed form cannot extend in higher dimensions. By contrast, we prove the existence of static, spherically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bernard Linet

We prove existence and uniqueness of foliations by stable spheres with constant mean curvature for 3-manifolds which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass. These metrics arise naturally as spacelike…

Differential Geometry · Mathematics 2007-05-23 André Neves , Gang Tian

This paper delves into observable signatures of hot spots orbiting Reissner-Nordstr\"om (RN) black holes and naked singularities. In a RN black hole case, we find two discernible lensing image tracks in time integrated images capturing a…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Tianshu Wu , Yiqian Chen

Quantization of different regions of the Reissner-Nordstr\"{o}m space time (charged black hole) is done in the framework of loop quantum gravity. The geometry of Reissner-Nordstr\"{o}m space-time is expressed in terms of Ashtekar variables…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Mojtaba Taslimi Tehran , Hoshang Heydari

A modified Reissner-Nordstr\"om spacetime is considered here, where the central object (for example, a black hole or naked singularity) possesses a mass, with an ordinary, i.e., Standard Model (SM) electric charge, along with a dark…

General Relativity and Quantum Cosmology · Physics 2023-11-21 J. R. Morris

We study the scalar perturbations of asymptotically flat extremal Reissner-Nordstr\"om black holes via the quantum Seiberg-Witten geometry of $\mathcal{N}=2$ SU(2) gauge theory with $N_f=2$ flavors. The radial master equation, governed by a…

High Energy Physics - Theory · Physics 2026-05-18 Yi-Rong Wang , Peng Yang , Kilar Zhang

What should be the quasinormal modes associated with a spacetime that contains a naked singularity instead of a black hole? In the present work we address this problem by studying the scattering of scalar fields on a curved background…

General Relativity and Quantum Cosmology · Physics 2012-12-04 Cecilia Chirenti , Alberto Saa , Jozef Skakala

We analytically study the superradiant instability of a charged massless scalar field in the background of D-dimensional Reissner-Nordstr\"{o}m (RN) black hole caused by the mirror's boundary condition. By using the asymptotic matching…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ran Li , Zhaojun Kun , Yanming Zhang

We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter…

Analysis of PDEs · Mathematics 2020-01-24 Fatima Ezzahra Jabiri

It is has been long known that the curved space in the presence of gravitation can be described as a non-homogeneous anisotropic medium in flat geometry with different constitutive equations. In this article, we show that the…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Sina Khorasani , Bizhan Rashidian

Nonlinear electrodynamics is known as the generalizations of Maxwell electrodynamics at strong fields and presents interesting features such as curing the classical divergences present in the linear theory when coupled to general…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Yashmitha Kumaran , Ali Övgün

In this paper, we study the Minkowski-type inequality for asymptotically flat static manifolds $(M^{n}, g)$ with boundary and with dimension $ n < 8$ that was establishedby McCormick. First, we show that any asymptotically flat static…

Differential Geometry · Mathematics 2024-01-23 Brian Harvie , Ye-Kai Wang

We propose a method for recognizing null singularities in a computer simulation that uses a foliation by spacelike surfaces. The method involves harmonic time slicing as well as rescaled tetrad variables. As a ``proof of concept'' we show…

General Relativity and Quantum Cosmology · Physics 2025-09-11 David Garfinkle

The well-known instability of the inner horizon of a Reissner-Nordstr\"om black hole, first suggested by Simpson and Penrose, although studied extensively, has remained illusive so far as several studies led to varied conclusions about the…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Nihar Ranjan Ghosh , Malay K. Nandy

We investigate the thermodynamic, optical, and dynamical properties of Reissner-Nordstrom-de Sitter black holes in a noncommutative spacetime with a minimal length scale Theta. Within a two-horizon framework, we formulate an effective first…

High Energy Physics - Theory · Physics 2026-03-24 Phongsakorn Sereewat , David Senjaya , Piyabut Burikham