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To understand the nature of a black hole shadow in dynamical spacetimes, we construct an analytical model of a dynamical photon sphere in the context of the Bonnor-Vaidya spacetime. Comparing the resulting photon sphere radius with the one…

广义相对论与量子宇宙学 · 物理学 2024-09-11 Yaghoub Heydarzade , Vitalii Vertogradov

In this paper we derive exact analytical formulas for the evolution of the photon sphere and for the angular radius of the shadow in a special Vaidya spacetime. The Vaidya metric describes a spherically symmetric object that gains or loses…

广义相对论与量子宇宙学 · 物理学 2022-04-01 Jay Solanki , Volker Perlick

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

Black hole thermodynamics is a crucial and foundational aspect of black hole physics, yet its observational verification remains exceptionally challenging. The photon sphere of a black hole, a manifestation of strong gravitational effects,…

广义相对论与量子宇宙学 · 物理学 2025-12-29 Si-Jiang Yang , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

We develop a compact and transparent framework for photon dynamics and shadow formation in slowly evolving, spherically symmetric spacetimes. Starting from the Eddington-Finkelstein action, we derive a force-decomposed radial equation in…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Vitalii Vertogradov , Ali Övgün

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…

广义相对论与量子宇宙学 · 物理学 2024-06-04 Vitalii Vertogradov , Ali Övgün

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

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 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

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

Stability of a photon sphere, or stability of circular null geodesics on the sphere, plays a key role in its applications to astrophysics. For instance, an unstable photon sphere is responsible for determining the size of a black hole…

广义相对论与量子宇宙学 · 物理学 2019-10-02 Yasutaka Koga , Tomohiro Harada

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen

We show a uniqueness result for the n-dimensional spatial Reissner-Nordstr\"om manifold: a static, electrovacuum, asymptotically flat system which is asymptotically Reissner-Nordstr\"om is a subextremal Reissner-Nordstr\"om manifold with…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Sophia Jahns

Non-commutative black holes(NCBH), due to the non-commutativity of spacetime coordinates, lead to a modification of the spacetime metric. By replacing the Dirac delta function with a Gaussian distribution, the mass is effectively smeared,…

广义相对论与量子宇宙学 · 物理学 2025-02-06 Mohammad Ali S. Afshar , Jafar Sadeghi

An explicit correspondence is established between the Extended Uncertainty Principle (EUP) and the metric function by directly relating the radiation temperature function modified by EUP to the modified spacetime metric. Utilising this…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Hai-Long Zhen , Jian-Hua Shi , Huai-Fan Li , Yu-Bo Ma

We investigate the impact of higher-curvature corrections on black-hole observables within a perturbative $f(R, G)$ gravity framework. Working in a static, spherically symmetric spacetime, we construct leading-order deviations from the…

广义相对论与量子宇宙学 · 物理学 2026-05-26 G. G. L. Nashed

In a recent work PRD 106, L021501 (2022), a new geometric approach is proposed to obtain the photon sphere (circular photon orbit) and the black hole shadow radius. In this approach, photon spheres and the black hole shadow radius are…

广义相对论与量子宇宙学 · 物理学 2022-11-11 Chen-Kai Qiao

Motivated by recent work, nonmonotonic behaviours of photon sphere radius can be used to reflect black hole phase transition for Reissner-Nordstr$\ddot{o}$m-AdS (RN-AdS) black holes, we study the case of five-dimensional charged…

广义相对论与量子宇宙学 · 物理学 2020-10-08 Shan-Zhong Han , Jie Jiang , Ming Zhang , Wen-Biao Liu

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

广义相对论与量子宇宙学 · 物理学 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

The shadows and photon spheres are investigated for both static and rotating traversable wormholes. In particular, with a red-shift function constructed in combination with two distinct shape functions, the null geodesic equation is found…

广义相对论与量子宇宙学 · 物理学 2025-03-21 Takol Tangphati , Phongpichit Channuie , Kazuharu Bamba , Davood Momeni
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