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Related papers: Light rings of five-dimensional geometries

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We investigate the geodesic structure and optical appearance of compact objects with primary scalar hair in shift- and parity-symmetric beyond Horndeski gravity. The analytic solution considered here depends on a theory parameter and a…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Hyat Huang , Jutta Kunz , Rashmi Uniyal , Xiao Qian Wang

Using the Ernst formalism, a novel solution of vacuum general relativity (GR) was recently obtained [1], describing a Schwarzschild black hole (BH) immersed in a nonasymptotically flat rotating background, dubbed swirling universe, with the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

We study the geodesics of charged black holes in polynomial Maxwell Lagrangians, a subclass of models within the nonlinear electrodynamics (NLED). Specifically, we consider black holes in Kruglov, power-law, and Ayon-Beato-Garcia models.…

General Relativity and Quantum Cosmology · Physics 2020-07-08 A S. Habibina , H. S. Ramadhan

We study the stability of the Weyl geometry considering an exact black hole solution. By calculating the geodesics of massless and massive scalar fields orbiting outside the Weyl black hole background and using the Lyapunov exponent, we…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Gerasimos Kouniatalis , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

The behaviors of null geodesics in the spherical symmetric black holes in Einstein-Maxwell-dilaton (EMD) theory with coupling function $f(\Phi)=e^{-2\alpha \Phi}$ are meticulously analyzed. We investigate the effects of coupling constant…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Chatchai Promsiri , Weerawit Horinouchi , Ekapong Hirunsirisawat

In a spherically symmetric and static spacetime of a compact object, such as that of a Schwarzschild black hole, the light-ring is a 2-sphere where photons experience the only possible circular orbits. As a "Gedankenexperiment", we imagine…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Francesco Di Filippo , Luciano Rezzolla

In this article we extend a recent theorem proven by Hod (Phys. Lett. B, {\bf 727}, 345--348, 2013) to $n$-dimensional Einstein and Einstein-Gauss-Bonnet theories, which gives an upper bound for the photon sphere radii of spherically…

General Relativity and Quantum Cosmology · Physics 2016-09-01 Emanuel Gallo , J. R. Villanueva

Motion of a particle near a horizon of a spherically symmetric black hole is shown to possess a universal Lyapunov exponent of a chaos provided by its surface gravity. To probe the horizon, we introduce electromagnetic or scalar force to…

High Energy Physics - Theory · Physics 2017-01-11 Koji Hashimoto , Norihiro Tanahashi

We derive proper-time Lyapunov exponent $(\lambda_{p})$ and coordinate-time Lyapunov exponent $(\lambda_{c})$ for a regular Hayward class of black hole. The proper-time corresponds to $\tau$ and the coordinate time corresponds to $t$. Where…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Monimala Mondal , Parthapratim Pradhan , Farook Rahaman , Indrani Karar

Geodesic motion determines important features of spacetimes. Null unstable geodesics are closely related to the appearance of compact objects to external observers and have been associated with the characteristic modes of black holes. By…

High Energy Physics - Theory · Physics 2011-06-21 Vitor Cardoso , Alex S. Miranda , Emanuele Berti , Helvi Witek , Vilson T. Zanchin

We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Minyong Guo , Peng-Cheng Li , Bin Chen

We investigate the existence and stability of both the timelike and null circular orbits for a (2+1) dimensional charged BTZ black hole in Einstein-nonlinear Maxwell gravity with a negative cosmological constant. The stability analysis of…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Shobhit Giri , Hemwati Nandan , Lokesh Kumar Joshi , Sunil D Maharaj

The semi-review paper studies the null geodesics which appear for black hole solutions in the gravitational $4d$ model with anisotropic fluid. The equations of state for the fluid and solutions itselves depend upon integer parameter $q = 1,…

General Relativity and Quantum Cosmology · Physics 2025-09-11 V. D. Ivashchuk , S. V. Bolokhov , F. B. Belissarova , N. Kydyrbay , A. N. Malybayev , G. S. Nurbakova , B. Zheng

We investigate the stability of both timelike as well as null circular geodesics in the vicinity of a dual (3+1) dimensional stringy black hole (BH) spacetime by using an excellent tool so-called Lyapunov exponent. The proper time ($\tau$)…

General Relativity and Quantum Cosmology · Physics 2021-08-13 Shobhit Giri , Hemwati Nandan

We examine the motion of the massless scalar field and nearly bound null geodesics in the near-ring region of a black hole, which may possess either acceleration or a gravitomagnetic mass. Around such black holes, the photon ring deviates…

High Energy Physics - Theory · Physics 2024-03-27 Ye-Sheng Xue , Jie Jiang , Ming Zhang

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

We study photon orbits in the background of $(1+3)$-dimensional static, spherically symmetric geometries. In particular, we have obtained exact analytical solutions to the null geodesic equations for light rays in terms of the…

General Relativity and Quantum Cosmology · Physics 2021-05-20 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

We obtain the mass parameter for a class of static and spherically symmetric regular black holes (BHs) (namely Bardeen, Hayward and Ay\'{o}n-Beato-Garc\'{i}a BHs) which are solutions of Einstein's field equations coupled to nonlinear…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Ricardo Becerril , Susana Valdez -Alvarado , Ulises Nucamendi , Pankaj Sheoran , Manuel Dávila

We present analytical solutions of the geodesic equations of test particles and light in the five dimensional singly spinning black ring spacetime for special cases, since it does not appear possible to separate the Hamilton-Jacobi-equation…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Saskia Grunau , Valeria Kagramanova , Jutta Kunz , Claus Lämmerzahl

It has been argued that ultracompact objects, which possess light rings but no horizons, may be unstable against gravitational perturbations. To test this conjecture, we revisit the quasi-black hole solutions, a family of horizonless…

General Relativity and Quantum Cosmology · Physics 2022-01-24 Minyong Guo , Zhen Zhong , Jinguang Wang , Sijie Gao