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Related papers: Imaging Signatures of the Israel Junction: Photon …

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Applying the junction conditions to the slowly rotating Kerr spacetime with a thin shell, we find that while the angular momentum $L$ and Carter constant $C$ of the ray remain unchanged upon crossing the shell, its energy $E$ does not.…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Long-Yue Li , Li-Ming Cao , Yungui Gong , Xia-Yuan Liu , Wenting Zhou

Astrophysical black holes are usually surrounded by an accretion disk. At least parts of these accretion disks consist of a plasma in which light rays with different energies are dispersed. However, we usually do not know the exact…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Torben C. Frost

We study the existence and radial stability of static, spherically symmetric thin shells separating two Schwarzschild--de Sitter spacetimes with parameters $(m_\pm,\Lambda_\pm)$. Using the Israel junction formalism and a linear barotropic…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Dimitrios Efstratiou , Evangelos Achilleas Paraskevas , Leandros Perivolaropoulos

In this paper, we investigate the interferometric signatures of hairy Schwarzschild black holes (hSBHs) that have either single or double photon spheres. Our interest mainly stems from two considerations: (i) the photon ring structure in…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Xi-Jing Wang , Yuan Meng , Xiao-Mei Kuang , Kai Liao

We study black hole imaging in the context of geometrically thick accretion disks in Schwarzschild spacetime. By decomposing the emitting region into a set of one-dimensional luminous segments, each characterized by its inclination angle…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Zi-Liang Wang

In arXiv:1705.10172 it was proposed that string theory replaces Schwarzschild black holes with horizonless thin shells with an AdS interior. In this paper we extend the analysis to slowly rotating black holes, solving the Israel-Lanczos-Sen…

High Energy Physics - Theory · Physics 2018-07-16 Ulf Danielsson , Suvendu Giri

This comment contains a suggestion for a slight modification of Israel's covariant formulation of junction conditions between two spacetimes, placing both sides on equal footing with normals having uniquely defined orientations. The signs…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. S. Goldwirth , J. Katz

We investigate the transmission of scalar, electromagnetic, and linearized odd-parity gravitational waves in a static spacetime characterized by a spherical distribution of matter in the form of thin concentric equidistant shells of equal…

General Relativity and Quantum Cosmology · Physics 2024-07-04 Rubén O. Acuña-Cárdenas , Olivier Sarbach , Luca Tessieri

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

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…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Andrey A. Shoom

In this study we analyse null geodesics in an accelerated Schwarzschild black hole sustained by a cosmic string/strut (C-metric) in the sub-extremal regime. Using dimensionless variables and a Mino-type parameter we cast the equations into…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Shokoufe Faraji , Eva Hackmann

It has been reported that the photon ring structure in black hole images produces strong and universal interferometric signatures on long interferometric baselines, holding promise for measuring black hole parameters and testing general…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Yiqian Chen , Peng Wang , Haitang Yang

We investigate within the Darmois-Israel thin shell formalism the match of neutral and asymptotically flat, slowly rotating spacetimes (up to the second order in the rotation parameter) when their boundaries are dynamic. It has several…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Jonas P. Pereira , Jorge A. Rueda

The quantization of a spherically symmetric null shells is performed and extended to the framework of phase-space noncommutative (NC) quantum mechanics. The encountered properties are investigated making use of the Israel junction…

General Relativity and Quantum Cosmology · Physics 2018-06-13 P. Leal , A. E. Bernardini , O. Bertolami

Adapting Israel's proof of static black hole uniqueness, we show that the Schwarzschild spacetime is the only static vacuum asymptotically flat spacetime that possesses a suitably defined photon sphere.

Differential Geometry · Mathematics 2014-09-05 Carla Cederbaum

We continue our study of the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole. Because null geodesics on the photon sphere orbit the black hole, extra effort must be made to show that the high…

Analysis of PDEs · Mathematics 2007-05-23 P. Blue , A. Soffer

We investigate the optical and radiative signatures of an accretion disk around a Schwarzschild black hole (BH) immersed in a uniform magnetic field. The spacetime geometry is described by the Schwarzschild-Bertotti-Robinson (SBR) metric,…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Javokhir Sharipov , Pankaj Sheoran , Sanjar Shaymatov

In the static and infalling spherical-shell models of optically thin accretion on Schwarzschild black hole, the formulas for the integrated intensities observed by a distant observer are derived, and by taking the monochromatic emission…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Bofeng Wu , En-Wei Liang , Xiao Zhang

This paper investigates the dynamics of thin-shell in the presence of perfect fluid as well as the scalar field. We formulate the equations of motion using Israel thin-shell formalism by taking the interior and exterior regions of…

General Relativity and Quantum Cosmology · Physics 2019-03-20 M. Sharif , Faisal Javed

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…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Chen-Kai Qiao
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