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Related papers: A Note on Geodesics in Hayward Metric

200 papers

Studying the threshold of black hole formation via numerical evolution has led to the discovery of fascinating nonlinear phenomena. Power-law mass scaling, aspects of universality, and self-similarity have now been found for a large variety…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Steven L. Liebling

We analyse the massless particles orbiting a spherically symmetric, asymptotically flat black hole with a radius equal to the photon sphere and a circular geodesic. Asymptotic observers record the orbital period of the null circular…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Yuxuan Shi

An asymptotically flat hairy black hole (HBH) can exhibit distinct characteristics when compared to the Schwarzschild black hole, due to the evasion of no-hair theorem by minimally coupling the Einstein gravity with a scalar potential which…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Hongyu Chen , Wei Fan , Xiao Yan Chew

This study aims to reconcile quantum theory with the universality of the speed of light in vacuum and its implications on relativity through an information-theoretic approach. We introduce the concepts of a holographic sphere and…

General Physics · Physics 2022-12-06 Szymon Łukaszyk

In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar.…

General Relativity and Quantum Cosmology · Physics 2024-04-01 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

We analyze null- and spacelike radial geodesics in Schwarzschild-de Sitter spacetime connecting two conjugate static sphere observers, i.e. free-falling observers at a fixed radius in between the two horizons. We explicitly determine the…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Mir Mehedi Faruk , Edward Morvan , Jan Pieter van der Schaar

It is shown that for small, spherically symmetric perturbations of asymptotically flat two-ended Reissner-Nordstr\"om data for the Einstein-Maxwell-real scalar field system, the boundary of the dynamic spacetime which evolves is globally…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Mihalis Dafermos

Black-hole spacetimes with a "photonsphere", a hypersurface on which massless particles can orbit the black hole on circular null geodesics, are studied. We prove that among all possible trajectories (both geodesic and non-geodesic) which…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Shahar Hod

With appropriately chosen parameters, the C-metric represents two uniformly accelerated black holes moving in the opposite directions on the axis of the axial symmetry (the z-axis). The acceleration is caused by nodal singularities located…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Pravda , A. Pravdova

We exhibit the first analogue model of a rotating black hole constructed in the framework of nonlinear electrodynamics. The background electromagnetic field is assumed to be algebraically special and adapted to a geodesic shear-free…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Érico Goulart , Eduardo Bittencourt

Discovery that gravitational field equations may coerce the spacetime metric with isometries to attain a block-diagonal form compatible with these isometries, was one of the gems built into the corpus of black hole uniqueness theorems. We…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Ana Bokulić , Ivica Smolić

In this paper, we investigate the gravitational lensing properties of magnetically charged black holes within the framework of nonlinear electrodynamics. We derive the deflection angle and examine the influence of the nonlinear…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Hira Waseem , Nikko John Leo S. Lobos , Ali Övgün , Reggie C. Pantig

Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

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

We discuss the emergence of black hole shadow and photon-sphere in the context of $f(R)$ gravity. It is shown that the shadow is exponentially sensitive to linear instabilities of metric coming from some $f(R)$ solutions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Andrea Addazi , Salvatore Capozziello , Sergei D. Odintsov

The horizon and geodesic structure of static configurations generated by anisotropic conformal transforms of the Schwarzschild metric is analyzed. We construct the maximal analytic extension of such off--diagonal vacuum metrics and conclude…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergiu Vacaru , D. E. Goksel

We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

We consider a static, spherically symmetric space-time with an electric field arising from a quadratic metric-affine extension of General Relativity. Such a space-time is free of singularities in the centre of the black holes, while at…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Ivan De Martino , Riccardo Della Monica , Diego Rubiera-Garcia

The aim of this Letter is rather pedagogical. We considered the static spherically symmetric ensemble of observers, having finite bare mass and trying to measure geometrical and physical properties of the environmental static…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Victor Berezin

We extend the study of the possibility to use the Schwarzschild black hole as a gravitational mirror to the more general case of an uncharged Kerr black hole. We use the null geodesic equation in the equatorial plane to prove a theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Claes R Cramer