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In this paper we study some features of the Kerr metric both from an analytic and a visual point of view by performing accurate raytracing in various situations. We focus on features that are unique to the maximal analytic extension of the…

广义相对论与量子宇宙学 · 物理学 2021-02-15 Alain Riazuelo

We present an implementation of a ray tracing code in the Schwarzschild metric. We aim at building a numerical code with a correct implementation of both special (aberration, amplification, Doppler) and general (deflection of light,…

广义相对论与量子宇宙学 · 物理学 2020-07-16 Alain Riazuelo

An analytic extension of the Reissner-Nordstrom solution at and beyond the singularity is presented. The extension is obtained by using new coordinates in which the metric becomes degenerate at $r=0$. The metric is still singular in the new…

广义相对论与量子宇宙学 · 物理学 2014-05-13 Ovidiu Cristinel Stoica

In this paper we study the strong gravitational lensing scenario where the lens is a Reissner-Nordstrom black hole. We obtain the basic equations and show that, as in the case of Schwarzschild black hole, besides the primary and secondary…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ernesto F. Eiroa , Gustavo E. Romero , Diego F. Torres

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…

广义相对论与量子宇宙学 · 物理学 2023-11-21 J. R. Morris

We consider the projection of null geodesics of the Schwarzschild-Tangherlini metric in n+1 dimensions to the space of orbits of the static Killing vector where the motion of a given light ray is seen to lie in a plane. The projected curves…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Stephen Casey

Using an algebraic condition of vanishing discriminant for multiple roots of fourth degree polynomials we derive an analytical expression of a shadow size as a function of a charge in the Reissner -- Nordstr\"om (RN) metric…

广义相对论与量子宇宙学 · 物理学 2021-08-06 Alexander F. Zakharov

We show that a possible astrophysical experiment, detection of lensed images of stars orbiting close to Sgr A*, can provide insight into the form of the metric around a black hole. We model Sgr A* as a black hole and add in a…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Amitai Y. Bin-Nun

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…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Gerardo Morales-Herrera , Pablo Ortega-Ruiz , Mehrab Momennia , Alfredo Herrera-Aguilar

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…

广义相对论与量子宇宙学 · 物理学 2024-02-12 Tianshu Wu , Yiqian Chen

In general relativity, the gravitational field of an electrically charged, non-rotating, spherically symmetric body is described by the Reissner-Nordstr\"om (RN) metric. Depending on the charge to mass ratio, the solution describes a black…

广义相对论与量子宇宙学 · 物理学 2024-10-08 Ruchi Mishra , Ronaldo S. S. Vieira , Włodek Kluźniak

Properties of the Reissner-Nordstr\"om black-hole and naked-singularity spacetimes with a nonzero cosmological constant are represented by their geodetical structure and embedding diagrams of the central planes of both the ordinary geometry…

广义相对论与量子宇宙学 · 物理学 2008-03-19 Zdeněk Stuchlík , Stanislav Hledík

We derive for the first time the form of the spiral null geodesics around the photon sphere of the Reissner-Nordstrom black hole in the de Sitter expanding universe. Moreover, we obtain the principal parameter we need for deriving,…

广义相对论与量子宇宙学 · 物理学 2021-08-11 Ion I. Cotaescu

There were problems encountered in extending the K-slicing of the Schwarzschild and Reissner-Nordstrom (RN) spacetimes [1, 2] to the extreme case, when charge equals mass (in gravitational units). The earlier procedure is here modified so…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Asghar Qadir , M. Sajid , Azad A. Siddiqui

Nearly every galactic core contains a supermassive compact object, hypothesized to be a Kerr black hole. It was only with the advent of Event Horizon Telescope observations that the predictions of this hypothesis could be observationally…

高能天体物理现象 · 物理学 2025-10-14 Tomasz Krajewski , Włodek Kluźniak

We develop an analytic model that extends classical white hole geometry by incorporating both radiative dynamics and electric charge. Starting from a maximal analytic extension of the Schwarzschild white hole via Kruskal Szekeres…

广义相对论与量子宇宙学 · 物理学 2025-05-30 Qingyao Zhang

We present a new solution in Einstein's theory of relativity, found through the use of the symmetries of the Ernst equations and in particular the Harrison and Ehlers transformations. The new metric represents a Reissner-Nordstr\"om black…

广义相对论与量子宇宙学 · 物理学 2023-12-27 Matilde Illy

We study the motion of neutral test particles along circular orbits in the Reissner-Nordstr\"om spacetime. We use the method of the effective potential with the constants of motion associated to the underlying Killing symmetries. A…

广义相对论与量子宇宙学 · 物理学 2010-03-16 Daniela Pugliese , Hernando Quevedo , Remo Ruffini

The metric for a Reissner-Nordstr$\ddot{o}$m black hole in the background of the Friedman-Robertson-Walker universe is obtained. Then we verified it and discussed the influence of the evolution of the universe on the size of the black hole.…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Chang Jun Gao , Shuang Nan Zhang

By inspecting some known solutions to Einstein equations, we present the metric of higher dimensional Reissner-Nordstr$\ddot{o}$m black hole in the background of Friedman-Robertson-Walker universe. Then we verify the solution with a perfect…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Chang Jun Gao , Shuang Nan Zhang
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