English
Related papers

Related papers: A Dynamical Systems Approach to Schwarzschild Null…

200 papers

One of the best ways to understand the gravitation of a massive object is by studying the photon's motion around it. We study the null geodesic of a regular black hole in anti-de Sitter spacetime, including a Gaussian matter distribution.…

General Relativity and Quantum Cosmology · Physics 2021-09-21 Abolhassan Mohammadi , N. Doustimotlagh , Tayeb Golanbari , Behrooz Malakolkalami , Shahram Jalalzadeh

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Emmanuele Battista

In this work, we explore the properties of timelike geodesic for particles with zero energy. We found some similarities between geodesic motion in Schwarzschild black hole and timelike geodesics for particles with zero energy. We show, that…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Vitalii Vertogradov , Leonid Shleiger

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the…

High Energy Physics - Theory · Physics 2017-04-04 Stefan Hofmann , Marc Schneider

In this paper we study geodesic motion around a distorted Schwarzschild black hole. We consider both timelike and null geodesics which are confined to the black hole's equatorial plane. Such geodesics generically exist if the distortion…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andrey A. Shoom , Cole Walsh , Ivan Booth

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

The stationary spherically symmetric accretion flow in the Schwarzschild metric has been set up as an autonomous first-order dynamical system, and it has been studied completely analytically. Of the three possible critical points in the…

Astrophysics · Physics 2008-11-26 Ipsita Mandal , Arnab K. Ray , Tapas Kumar Das

A shared property of several of the known exact solutions to the equations of force-free electrodynamics is that their charge-current four-vector is \textit{null}. We examine the general properties of null-current solutions and then focus…

General Relativity and Quantum Cosmology · Physics 2015-06-16 T. Daniel Brennan , Samuel E. Gralla , Ted Jacobson

We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles,…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

We present an exact, purely geometric account of the interior dynamics of Schwarzschild black holes, formulated without invoking any specific gravitational theory and free of additional charges beyond the total mass ${\cal M}$. We show that…

General Relativity and Quantum Cosmology · Physics 2026-04-30 J. Ovalle

We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Jiri Podolsky , Robert Svarc , Vojtech Pravda , Alena Pravdova

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Ivan Arraut Guerrero , Davide Batic , Marek Nowakowski

We study the geodesic motion of massless test particles in the background of a magnetic charged black hole spacetime in four dimensions in dilaton-Maxwell gravity. The behaviour of effective potential in view of the different values of…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Ravi Shankar Kuniyal , Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

In this paper, we investigate the geodesic motion of massive and massless test particles in the vicinity of a black hole space-time surrounded by perfect fluid (quintessence, dust, radiation, cosmological constant and phantom) in Rastall…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Saheb Soroushfar , Maryam Afrooz

In this study we analyse null geodesics in an accelerated Schwarzschild black hole sustained by a cosmic string/strut (C-metric) in the sub-extremal regime. Using dimensionless variables and a Mino-type parameter we cast the equations into…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Shokoufe Faraji , Eva Hackmann

We investigate the geodesic motion of massless test particles in the background of a noncommutative geometry inspired Schwarzschild black hole. The behaviour of effective potential is analysed in the equatorial plane and the possible…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Ravi Shankar Kuniyal , Rashmi Uniyal , Anindya Biswas , Hemwati Nandan , K. D. Purohit

The Schwarzschild singularity's resolution has key values in cracking the key mysteries related with black holes, the origin of their horizon entropy and the information missing puzzle involved in their evaporations. We provide in this work…

High Energy Physics - Theory · Physics 2020-01-22 Ding-fang Zeng

By considering the back-reaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-07-21 Kourosh Nozari , Milad Hajebrahimi

We study the dynamics near the central singularity in spherically symmetric collapse of a massless scalar field toward Schwarzschild black hole formation. The equations of motion take different simplified forms in the early and late stages…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Jun-Qi Guo