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Photons propagating in curved spacetime may, depending on their direction and polarisation, have velocities exceeding the ``speed of light'' c. This phenomenon arises through vacuum polarisation in QED and is a tidal gravitational effect…

High Energy Physics - Theory · Physics 2008-11-26 R. D. Daniels , G. M. Shore

The radial motion of photons emitted near the horizon of a black hole that evaporates at a steady rate is examined. The space-time of the black hole is generated using non-orthogonal coordinates. It is shown that some photons that are…

General Relativity and Quantum Cosmology · Physics 2008-02-13 Beth A. Brown , James Lindesay

In this work, we investigate the critical behavior of photon rings in the Kerr-Bertotti-Robinson spacetime, describing a rotating black hole immersed in a background magnetic field. We analyze the radial and angular motions of photons under…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Xi Wan , Zhenyu Zhang , Fang-Stars Wei , Yehui Hou , Bin Chen

We consider a class of spherically symmetric spacetime to obtain some interesting solutions in F(R) gravity without matter field (pure gravity). We investigate the geometry of the solutions and find that there is an essential singularity at…

General Relativity and Quantum Cosmology · Physics 2014-03-03 S. H. Hendi , B. Eslam Panah , C. Corda

We consider necessary and sufficient conditions for photons emitted from an arbitrary spacetime position of the extremal Kerr black hole to escape to infinity. The radial equation of motion determines the necessary conditions for photons…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Kota Ogasawara , Takahisa Igata

Under very general assumptions on the accretion flow geometry, images of a black hole illuminated by electromagnetic radiation display a sequence of photon rings (demagnified and rotated copies of the direct image) which asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Maciek Wielgus

We study timelike, totally umbilic hypersurfaces -- called photon surfaces -- in $n+1$-dimensional static, asymptotically flat spacetimes, for $n+1\geq4$. First, we give a complete characterization of photon surfaces in a class of…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Carla Cederbaum , Sophia Jahns , Olivia Vičánek Martínez

We study images of spacetimes containing continuous photon spheres (CPS). For a self-gravitating, isotropic, spherically symmetric spacetime with CPS, we find that a thin accretion disk produces images that closely resemble those of a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Long-Yue Li , Xia-Yuan Liu , Rong-Gen Cai , Yungui Gong , Wenting Zhou

We study the motion of photons in the background of a three-dimensional rotating Ho\v{r}ava AdS black hole that corresponds to a Lorentz-violating version of the BTZ black hole and we analyze the effect of the breaking of Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2020-02-19 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

The photon sphere defines the unstable circular orbit of photons in a black hole spacetime. Photons emitted by a source located inside the photon sphere can be gravitationally lensed by the black hole and have time delays when reaching the…

High Energy Astrophysical Phenomena · Physics 2025-05-28 Yuan-Xing Gao

A new sufficient condition for photons emitted near future null infinity to reach future null infinity is derived by studying null geodesics in the Bondi coordinates in asymptotically flat spacetimes. In our previous works…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Masaya Amo , Keisuke Izumi , Yoshimune Tomikawa , Hirotaka Yoshino , Tetsuya Shiromizu

In this report, we discuss the dynamics of photons in a five-dimensional Schwarzschild black hole. We find that the corresponding Eddington-Finkelstein-like coordinate admits two time-coordinate singularities for a particular condition.…

General Relativity and Quantum Cosmology · Physics 2021-07-27 Husin Alatas , Siti A. Nuraeni , Ilma L. Saptiani , Bobby E. Gunara

We consider necessary and sufficient conditions for photons emitted from the vicinity of a Kerr black hole horizon to escape to infinity. The radial equation of motion determines necessary conditions for photons to reach infinity, and the…

General Relativity and Quantum Cosmology · Physics 2021-03-02 Kota Ogasawara , Takahisa Igata

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

Astrophysical black holes (BHs) are universally expected to be described by the Kerr metric, a stationary, vacuum solution of general relativity (GR). Indeed, by imaging M87$^\star$ and Sgr A$^\star$ and measuring the size of their shadows,…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus

Photon surfaces are timelike, totally umbilic hypersurfaces of Lorentzian spacetimes. In the first part of this paper, we locally characterize all possible photon surfaces in a class of static, spherically symmetric spacetimes that includes…

Differential Geometry · Mathematics 2021-04-01 Carla Cederbaum , Gregory J. Galloway

We investigate asymptotic Schwarzschild exterior solutions in the context of modified gravity theories, specifically within the framework of $f(R)$ gravity, where the asymptotic behavior recovers the standard Schwarzschild solution of…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Miguel Aparicio Resco

The notion of non-equatorial spherical photon orbits is among the very special properties of the Kerr spacetime of rotating black holes and is one that leaves a clear mark on the electromagnetic and gravitational wave signature of these…

General Relativity and Quantum Cosmology · Physics 2019-04-15 George Pappas , Kostas Glampedakis

For a model of the electromagnetic field coupled to Weyl tensor, Maxwell equations are modified and photons at low frequencies no longer propagate along light cone. If we detect a black hole using these photons, some difficulties appear…

General Relativity and Quantum Cosmology · Physics 2017-05-01 Jiliang Jing , Songbai Chen , Qiyuan Pan , Jieci Wang

We derive the wave equation obeyed by electromagnetic fields in curved spacetime. We find that there are Riemann and Ricci curvature coupling terms to the photon polarisation which result in a polarisation dependent deviation of the photon…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Subhendra Mohanty , A. R. Prasanna
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