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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…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Carla Cederbaum , Sophia Jahns , Olivia Vičánek Martínez

We analyze gravitational lensing, in particular the shadow and photon rings, in the Ernst spacetime, also known as the Schwarzschild-Melvin spacetime, which describes a Schwarzschild black hole immersed in a homogenous magnetic field.…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Muhammad Haider Khan , Volker Perlick

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…

Differential Geometry · Mathematics 2021-04-01 Carla Cederbaum , Gregory J. Galloway

We consider the explicit analytic behaviour of photon escape cones in generic static spherically symmetric spacetimes, emphasizing the interplay between the physical spacetime metric and the optical metric, and the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Joshua Baines , Matt Visser

In asymptotically flat spacetimes, bearing the null geodesics reaching the future null infinity in mind, we propose new concepts, the "dark horizons" as generalizations of the photon sphere. They are defined in terms of the structure of…

General Relativity and Quantum Cosmology · Physics 2024-06-28 Masaya Amo , Keisuke Izumi , Hirotaka Yoshino , Yoshimune Tomikawa , Tetsuya Shiromizu

We consider a time dependent, spherically outflowing wind, in Schwarzschild space-time, consisting of electron-positron pairs and photons . Without assuming thermal equilibrium, we account for the microphysics, including two-body processes…

Astrophysics · Physics 2009-11-13 A. G. Aksenov , M. Milgrom , V. V. Usov

Recently, several new characteristics have been introduced to describe null geodesic structure of stationary spacetimes, such as photon regions (PR) and transversely trapping surfaces (TTS). The former are three-dimensional domains…

General Relativity and Quantum Cosmology · Physics 2019-05-01 D. V. Gal'tsov , K. V. Kobialko

It is hard to imagine curved spacetimes of General Relativity. A simple but powerful way how to achieve this is visualizing them via embedding diagrams of both ordinary geometry and optical reference geometry. They facilitate to gain an…

Astrophysics · Physics 2016-11-15 Stanislav Hledik , Zdenek Stuchlik , Alois Cipko

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

Properties of the Reissner-Nordstr\"om black-hole and naked-singularity spacetimes with a nonzero cosmological constant are represented by their geodetical structure and embedding diagrams of the central planes of both the ordinary geometry…

General Relativity and Quantum Cosmology · Physics 2008-03-19 Zdeněk Stuchlík , Stanislav Hledík

The creation of electrically charged states and the resulting electromagnetic fields are considered in space-time regions in which such experiments can actually be carried out, namely in future-directed light cones. Under the simplifying…

Mathematical Physics · Physics 2025-03-05 Detlev Buchholz , Fabio Ciolli , Giuseppe Ruzzi , Ezio Vasselli

We consider the perturbative, fully explicit, analytical behaviour of photon escape cones in the Kerr spacetime. When one conducts the fully general non-perturbative Kerr analysis, one quickly finds that one must at some point appeal to…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Joshua Baines , Matt Visser

A model of single photon detection, illustrated by a photon-absorbing superfluid or superconducting microvolume, is formulated as a cascading pair of quantum phase transitions. In the first, the microvolume transitions to the normal state…

Quantum Physics · Physics 2019-12-19 Peter B. Weichman

We give analytic expressions for image properties of objects seen around point mass lenses embedded in a flat $\Lambda$CDM universe. An embedded lens in an otherwise homogeneous universe offers a more realistic representation of the lens's…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Ronald Kantowski , Bin Chen , Xinyu Dai

It is usually assumed that the infrared divergences that occur for virtual photons in Feynman diagrams cancel against the corresponding divergences in phase space integrals for the emission of real soft photons. If this were the case then…

High Energy Physics - Phenomenology · Physics 2010-07-27 G. E. C. Burton , A. D. Kennedy

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…

General Relativity and Quantum Cosmology · Physics 2019-11-13 D. V. Gal'tsov , K. V. Kobialko

In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics everywhere outside the symmetry axis. These spacetimes contain…

General Relativity and Quantum Cosmology · Physics 2010-04-20 Oyvind Gron , Steinar Johannesen

In contrast to Einstein's theory, the first order formulation of gravity turns out to be a natural habitat for double-sheeted spacetime solutions which satisfy the vacuum field equations everywhere. These bridge-like geometries exhibit…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Sandipan Sengupta

After a brief review of the foundations of (pre-metric) electromagnetism, we explore some physical consequences of electrodynamics in curved spacetime. In general, new electromagnetic couplings and related phenomena are induced by the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Francisco Cabral , Francisco S. N. Lobo

Optical reference geometry and related concept of inertial forces are investigated in Kerr-de Sitter spacetimes. Properties of the inertial forces are summarized and their typical behaviour is illustrated. The intuitive 'Newtonian'…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Kovar , Zdenek Stuchlik
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