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相关论文: Stability of null orbits on photon spheres and pho…

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The photon sphere concept in Schwarzschild space-time is generalized to a definition of a photon surface in an arbitrary space-time. A photon sphere is then defined as an SO(3)xR-invariant photon surface in a static spherically symmetric…

广义相对论与量子宇宙学 · 物理学 2010-02-22 Clarissa-Marie Claudel , K. S. Virbhadra , G. F. R. Ellis

Photon sphere has attracted significant attention since the capture of black hole shadow images by Event Horizon Telescope. Recently, a number of studies have highlighted that the number of photon spheres and their distributions near black…

广义相对论与量子宇宙学 · 物理学 2025-02-25 Chen-Kai Qiao

There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere are either escape to…

广义相对论与量子宇宙学 · 物理学 2017-11-03 Andrey A. Shoom

Photon spheres have attracted considerable interest in the studies of black holes and other astrophysical objects. For different categories of spacetimes (or gravitational sources), the existence of photon spheres and their distributions…

广义相对论与量子宇宙学 · 物理学 2026-02-05 Chen-Kai Qiao , Ping Su , Yang Huang

The geodesic method has played a crucial role in understanding the circular orbits generated by compact objects, culminating in the definition of the photon sphere, which was later generalized to a photon surface in arbitrary spacetimes.…

We investigate photon surfaces and their stability in a less symmetric spacetime, a general static warped product with a warping function acting on a Riemannian submanifold of codimension two. We find a one-dimensional pseudopotential that…

广义相对论与量子宇宙学 · 物理学 2021-02-10 Yasutaka Koga , Takahisa Igata , Keisuke Nakashi

In this work, we establish the existence conditions and a universal upper bound on the radius of stable photon spheres (SPS) outside the event horizons of static, spherically symmetric, asymptotically flat black holes surrounded by matter…

广义相对论与量子宇宙学 · 物理学 2025-09-16 Yong Song , Jiaqi Fu , Yiting Cen

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…

广义相对论与量子宇宙学 · 物理学 2022-03-24 Bernard Raffaelli

We have derived the differential equation governing the evolution of the photon sphere for dynamical black hole spacetimes with or without spherical symmetry. Numerical solution of the same depicting evolution of the photon sphere has been…

广义相对论与量子宇宙学 · 物理学 2019-06-05 Akash K Mishra , Sumanta Chakraborty , Sudipta Sarkar

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

广义相对论与量子宇宙学 · 物理学 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

The standard Black Holes (BHs) in General Relativity, as well as other ultra-compact objects (with or without an event horizon) admit planar circular photon orbits. These light rings (LRs) determine several spacetime properties. For…

广义相对论与量子宇宙学 · 物理学 2017-08-02 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

The stability of photon trajectories in models of the Universe that have constant spatial curvature is determined by the sign of the curvature: they are exponentially unstable if the curvature is negative and stable if it is positive or…

混沌动力学 · 物理学 2009-11-10 C. P. Dettmann , J. P. Keating , S. D. Prado

In this paper, we investigate the topological photon sphere from two distinct perspectives. In the first view, we examine the existence and characteristics of topological photon(anti-photon)spheres for black holes with different structures,…

广义相对论与量子宇宙学 · 物理学 2024-08-15 Jafar Sadeghi , Mohammad Ali S. Afshar

We analyze the null geodesics of regular black holes. A detailed analysis of geodesic structure both null geodesics and time-like geodesics have been investigated for the said black hole. As an application of null geodecics, we calculate…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Monimala Mondal , Anil Kumar Yadav , Parthapratim Pradhan , Sayeedul Islam , Farook Rahaman

A photon sphere is known as the geometrical structure shaping a black hole shadow. The mechanism is well understood for static or stationary black hole spacetimes such as the Schwarzschild and the Kerr spacetimes. In this paper, we…

广义相对论与量子宇宙学 · 物理学 2022-05-25 Yasutaka Koga , Nobuyuki Asaka , Masashi Kimura , Kazumasa Okabayashi

For static black holes in Einstein gravity, if matter fields satisfy a few general conditions, we conjecture that three characteristic parameters about the spatial size of black holes, namely the outermost photon sphere area…

广义相对论与量子宇宙学 · 物理学 2020-10-20 Run-Qiu Yang , H. Lu

We demonstrate that the location of a stable photon sphere (PS) in a compact object is not always an edge such as the inner boundary of a black hole shadow, whereas the location of an unstable PS is known to be the shadow edge notably in…

广义相对论与量子宇宙学 · 物理学 2022-06-08 Ryuya Kudo , Hideki Asada

In this paper, we first consider null geodesics of a class of charged, spherical and asymptotically flat hairy black holes in an Einstein-Maxwell-scalar theory with a non-minimal coupling for the scalar and electromagnetic fields.…

广义相对论与量子宇宙学 · 物理学 2021-07-07 Qingyu Gan , Peng Wang , Houwen Wu , Haitang Yang

A photon surface $S$ is defined as a three-dimensional timelike hypersurface such that any null geodesic initially tangent to $S$ continues to be included in $S$, like $r=3M$ of the Schwarzschild spacetime. Using analytic solutions to…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Hirotaka Yoshino

We study the geodesic structure and observable properties of asymptotically flat regular black holes sourced by a phantom scalar field characterized by a scalar charge $A$. This parameter removes the central singularity and continuously…

广义相对论与量子宇宙学 · 物理学 2026-05-21 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez
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