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Recently, several new characteristics have been introduced to describe null geodesic structure of strong gravitational field, such as photon regions, transversely trapping surfaces and some generalizations. They give an alternative and…

广义相对论与量子宇宙学 · 物理学 2019-11-13 D. V. Gal'tsov , K. V. Kobialko

Photon region (PR) in the strong gravitational field is defined as a compact region where photons can travel endlessly without going to infinity or disappearing at the event horizon. In Schwarzschild metric PR degenerates to the…

广义相对论与量子宇宙学 · 物理学 2020-06-15 K. V. Kobialko , D. V. Gal'tsov

We propose a new concept, the transversely trapping surface (TTS), as an extension of the static photon surface characterizing the strong gravity region of a static/stationary spacetime in terms of photon behavior. The TTS is defined as a…

广义相对论与量子宇宙学 · 物理学 2017-06-16 Hirotaka Yoshino , Keisuke Izumi , Tetsuya Shiromizu , Yoshimune Tomikawa

We analyse the geometry and topology of the trapped photon region in the domain of outer communication of sub-extremal Kerr-Newman and Kerr-Sen spacetimes. Specifically, we show that its projection to the (co-)tangent bundle forms a…

广义相对论与量子宇宙学 · 物理学 2026-02-05 Carla Cederbaum , Karim Mosani

Photon circular orbits, an extreme case of light deflection, are among the hallmarks of black holes and are known to play a central role in a variety of phenomena related to these extreme objects. The very existence of such orbits when…

广义相对论与量子宇宙学 · 物理学 2019-06-28 Kostas Glampedakis , George Pappas

The data from the event horizon telescope have provided a novel view of the vicinity of the horizon of a black hole (BH), by imaging the region around the light-ring. They have also raised hopes for measuring in the near future, features of…

广义相对论与量子宇宙学 · 物理学 2022-06-07 Konstantinos Kostaros , George Pappas

We study the set of trapped photons of a subcritical (a<M) Kerr spacetime as a subset of the phase space. First, we present an explicit proof that the photons of constant Boyer--Lindquist coordinate radius are the only photons in the Kerr…

微分几何 · 数学 2019-10-14 Carla Cederbaum , Sophia Jahns

We demonstrate the existence of photon traps within the framework of nonlinear electrodynamics. The trapping mechanism is based on the fact that, for null background fields, the optical metric reduces to the Kerr-Schild form, which plays a…

广义相对论与量子宇宙学 · 物理学 2025-07-14 Érico Goulart , Eduardo Bittencourt

We present an invariant characterization of the Kerr spacetime, and utilize the invariant structure of the spacetime to derive a function whose zeros identify a special family of null geodesics. Each member of this family is tangent to…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Nicholas Layden , Dipanjan Dey , Alan Coley

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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Long-Yue Li , Xia-Yuan Liu , Rong-Gen Cai , Yungui Gong , Wenting Zhou

We consider null geodesics in the exterior region of a subextremal Kerr spacetime. We show that most well-known fundamental properties of null geodesics can be represented on one plot. In particular, one can see immediately that the…

广义相对论与量子宇宙学 · 物理学 2020-07-28 Claudio F. Paganini , Blazej Ruba , Marius A. Oancea

The Kerr black holes possess a photon region with prograde and retrograde orbits radii, respectively, $M\leq r_p^-\leq 3M$ and $3M\leq r_p^+\leq 4M$, and thereby always cast a closed photon ring or a shadow silhouette for $a\leq M$. For…

广义相对论与量子宇宙学 · 物理学 2021-03-25 Rahul Kumar , Sushant G. Ghosh

Bearing in mind our previous study on asymptotic behavior of null geodesics near future null infinity, we analyze the behavior of geometrical quantities such as a certain extrinsic curvature and Riemann tensor in the Bondi coordinates. In…

广义相对论与量子宇宙学 · 物理学 2022-04-04 Masaya Amo , Tetsuya Shiromizu , Keisuke Izumi , Hirotaka Yoshino , Yoshimune Tomikawa

We propose new concepts, a dynamically transversely trapping surface (DTTS) and a marginally DTTS, as indicators for a strong gravity region. A DTTS is defined as a two-dimensional closed surface on a spacelike hypersurface such that…

广义相对论与量子宇宙学 · 物理学 2020-02-26 Hirotaka Yoshino , Keisuke Izumi , Tetsuya Shiromizu , Yoshimune Tomikawa

A dynamically transversely trapping surface (DTTS) is a new concept of an extension of a photon sphere that appropriately represents a strong gravity region and has close analogy with a trapped surface. We study formation of a marginally…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Hirotaka Yoshino , Keisuke Izumi , Tetsuya Shiromizu , Yoshimune Tomikawa

We study the motion of bound null geodesics with fixed coordinate radius around a five-dimensional rotating black hole. These spherical photon orbits are not confined to a plane, and can exhibit interesting quasiperiodic behaviour. We…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Mark Bugden

We construct the marginal loosely trapped surface (marginal LTS) for the Kerr spacetime with a small Kerr parameter perturbatively, where the LTS condition is saturated. An LTS is a surface that specifies the strong gravity region, which is…

广义相对论与量子宇宙学 · 物理学 2024-07-17 Keisuke Izumi , Tetsuya Shiromizu , Daisuke Yoshida , Yoshimune Tomikawa , Hirotaka Yoshino

We study the properties of the loosely trapped surface (LTS) and the dynamically transversely trapping surface (DTTS) in Einstein-Maxwell systems. These concepts of surfaces were proposed by the four of the present authors in order to…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Kangjae Lee , Tetsuya Shiromizu , Hirotaka Yoshino , Keisuke Izumi , Yoshimune Tomikawa

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…

微分几何 · 数学 2021-04-01 Carla Cederbaum , Gregory J. Galloway
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