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We have developed a realistic, fully general relativistic computer code to simulate optical projection in a strong, spherically symmetric gravitational field. The standard theoretical analysis of optical projection for an observer in the…

Astrophysics · Physics 2009-11-13 P. Bakala , P. Cermak , S. Hledik , Z. Stuchlik , K. Truparova

The introduction of coordinates representing the points of view of various observers results in the possibility of horizons when acceleration and gravitation are included. A horizon is a surface of possible light beams in a region of space…

General Relativity and Quantum Cosmology · Physics 2007-06-26 James Lindesay

When a massive test particle or a photon fall radially into a black hole, their energy, as measured by a static observer located very close to the horizon, diverges. In introductory courses on General Relativity, this fact gives rise to…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Francisco D. Mazzitelli

It is well known that general relativity is an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays a key role in…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Qi-Ming Fu , Xin Zhang

It is argued that a slight modification of the complementarity principle may help to overcome paradoxes about the observer who falls through the event horizon

General Relativity and Quantum Cosmology · Physics 2009-01-19 Giovanni Arcioni , Antoine Suarez

We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

In this paper, we investigate the gravitational lensing effect and the shadow around a Schwarzschild-like black hole in metric-affine bumblebee gravity, which leads to the Lorentz symmetry breaking. We first present a generalized formalism…

General Relativity and Quantum Cosmology · Physics 2024-09-20 Xiao-Jun Gao

Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

We study the optical appearance of a thin accretion disk around a Schwarzschild black hole pierced by a cosmic string with a semi-analytic method of Luminet [11]. Direct and secondary images with different parameters observed by a distant…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Changqing Liu , Li Tang , Jiliang Jing

In this paper, we investigate the strong gravitational lensing effects and optical appearances around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Xiao-Jun Gao

We study the equivalence principle, regarded as the cornerstone of general relativity, by analyzing the deformation observable of black hole shadows. Such deformation can arise from new physics and may be expressed as a phenomenological…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-22 Chunlong Li , Sheng-Feng Yan , Lingqin Xue , Xin Ren , Yi-Fu Cai , Damien A. Easson , Ye-Fei Yuan , Hongsheng Zhao

A brief illustrative discussion of the shadows of black holes at local and cosmological distances is presented. Starting from definition of the term and discussion of recent observations, we then investigate shadows at large, cosmological…

General Relativity and Quantum Cosmology · Physics 2019-10-24 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko , V. Perlick

The singularity of a spherical (Schwarzschild) black hole is a surface, not a point. A freely-falling, non-rotating observer sees Hawking radiation with energy density diverging with radius as $\rho \propto r^{-6}$ near the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Andrew J. S. Hamilton

We consider the Schwarzschild black hole and show how, in a theory with limiting curvature, the physical singularity "inside it" is removed. The resulting spacetime is geodesically complete. The internal structure of this nonsingular black…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Ali H. Chamseddine , Viatcheslav Mukhanov

We consider a free-falling observer who crosses the event horizon in the Schwarzschild background. In the course of this fall, he/she can receive signals from an object (like a star surface) that emits radiation. We study how the frequency…

General Relativity and Quantum Cosmology · Physics 2023-09-22 H. V. Ovcharenko , O. B. Zaslavskii

It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hotta , K. Sasaki , T. Sasaki

Lorentz-violating gravity theories with a preferred foliation can have instantaneous propagation. Nonetheless, it has been shown that black holes can still exist in such theories and the relevant notion of an event horizon has been dubbed…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Nicola Franchini , Mehdi Saravani , Thomas P. Sotiriou

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

The relative flow of the Schwarzschild vs. the proper time during the classical evolution of a collapsing shell in the Schwarzschild coordinates practically forces us to interpret black hole formation as a highly non-local quantum process…

General Relativity and Quantum Cosmology · Physics 2022-07-15 De-Chang Dai , Djordje Minic , Dejan Stojkovic

Black holes have the peculiar and intriguing property of having an event horizon, a one-way membrane causally separating their internal region from the rest of the Universe. Today astrophysical observations provide some evidence for the…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Cosimo Bambi