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Related papers: Particle and photon orbits in McVittie spacetimes

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In this research note we introduce a new approximation of photon geodesics in Schwarzschild spacetime which is especially useful to describe highly bent trajectories, for which the angle between the initial emission position and the line of…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Riccardo La Placa , Pavel Bakala , Luigi Stella , Maurizio Falanga

McVittie's spacetime is a spherically symmetric solution to Einstein's equation with an energy-momentum tensor of a perfect fluid. It describes the external field of a single quasi-isolated object with vanishing electric charge and angular…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Matteo Carrera , Domenico Giulini

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

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…

General Relativity and Quantum Cosmology · Physics 2020-06-15 K. V. Kobialko , D. V. Gal'tsov

In this paper, we introduce a class of spacetimes $\left(\mathcal{M},g\right)$ which satisfy the vacuum Einstein equations and dynamically approach a Schwarzschild solution of mass $M$, a class we shall call \emph{ultimately…

General Relativity and Quantum Cosmology · Physics 2010-10-18 Gustav Holzegel

We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized by the property that they are in 1-1 correspondence, and…

General Relativity and Quantum Cosmology · Physics 2015-03-06 G. d'Ambrosi , J. W. van Holten

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

We derive here the orbit equations of particles in naked singularity spacetimes, namely the Bertrand (BST) and Janis-Newman-Winicour (JNW) geometries, and for the Schwarzschild black hole. We plot the orbit equations and find the Perihelion…

General Relativity and Quantum Cosmology · Physics 2019-09-23 Ashok B. Joshi , Parth Bambhaniya , Dipanjan Dey , Pankaj S. Joshi

The Mathisson-Papapetrou equations in the Schwarzschild background both at Mathisson-Pirani and Tulczyjew-Dixon supplementary condition are considered. The region of existence of highly relativistic circular orbits of a spinning particle in…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Roman Plyatsko , Mykola Fenyk

By considering particles as smeared objects, we investigate the effects of space noncommutativity on the orbits of particles in Schwarzschild spacetime. The effects of space noncommutativity on the value of the precession of the perihelion…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

In a spherically symmetric and static spacetime of a compact object, such as that of a Schwarzschild black hole, the light-ring is a 2-sphere where photons experience the only possible circular orbits. As a "Gedankenexperiment", we imagine…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Francesco Di Filippo , Luciano Rezzolla

The black hole shadow is fundamentally connected to the structure of light rings and the photon region in the background geometry. We investigate the photon region boundary in a generic asymptotically flat, stationary, axisymmetric black…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Prasad Padhye , Kajol Paithankar , Sanved Kolekar

We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and…

High Energy Physics - Theory · Physics 2020-10-07 Takahisa Igata , Shinya Tomizawa

The geometric optics approximation provides an interpretation for eikonal correspondence that, in black-hole-containing spacetimes, connects high-frequency black hole quasinormal modes with closed photon orbits around said black hole. This…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Che-Yu Chen , Hsu-Wen Chiang , Jie-Shiun Tsao

In Schwarzschild spacetime, the gravitational spin-orbit couplings of the massless Dirac field and the photon field can be studied in a unified way. In contrary to the previous investigations presented mainly at the quantum-mechanical…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Zhi-Yong Wang

The study of circular orbits offers profound insights into the structure of spacetime around black holes. While the topological properties of these orbits are well-established for neutral particles, the influence of electric…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Yong Song , Jia Li , Yiting Cen , Kai Diao , Xiaofeng Zhao , Shunping Shi

In this work, we investigate the dynamics of periodic orbits and the properties of accretion disks around a Schwarzschild-like black hole (BH) immersed in a King-type dark matter (DM) halo. Our analysis focuses on how the presence of the…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Javokhir Sharipov , Tursunali Xamidov , Qiang Wu , Sanjar Shaymatov , Tao Zhu

In this study, we explore the dynamics of particle orbits and their corresponding gravitational wave signatures in the vicinity of a Schwarzschild black hole (BH) surrounded by a cloud of strings and embedded in a perfect fluid dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ziqiang Cai , Zhi Li , Zhenglong Ban , Qi-Qi Liang , Zheng-Wen Long

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

In this work we present a new family of properly embedded free boundary minimal hypersurfaces of revolution with circular boundaries in the horizon of the $n$-dimensional Schwarzschild space, $n\geq3$. In particular, we answer a question…

Differential Geometry · Mathematics 2022-10-17 Ezequiel Barbosa , David Moya