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Related papers: Optical caustics of Kerr spacetime: the full struc…

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Black holes described by the Kerr metric can have a theoretical maximum dimensionless spin parameter of $a_\bullet = 1$, but several effects may limit the maximum spin parameter in astrophysical systems. We perform general relativistic…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Tegan A. Thomas , Angelo Ricarte , Cora Prather , Hyerin Cho

Analogue black holes, which can mimic the kinetic aspects of real black holes, have been proposed for many years. The growth of the radial momentum of test particles toward the acoustic horizon is calculated for acoustic black holes in flat…

High Energy Physics - Theory · Physics 2022-04-29 QingBing Wang , Xian-Hui Ge

Optical field fluctuations in self-defocusing media can be described in terms of sound waves in a 2D photon-fluid. It is shown that, while the background fluid couples with the usual flat metric, sound-like waves experience an effective…

General Relativity and Quantum Cosmology · Physics 2008-12-03 Francesco Marino

We study the dynamics and relativistic precessions of massive particles on spherical orbits around Kerr-MOG black holes in scalar-tensor-vector gravity (STVG). By employing the Hamilton-Jacobi formalism, we derive conserved quantities and…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Hui-Min Wang

I investigate the caustics produced by the fall of collisionless dark matter in and out of a galaxy in the limit of negligible velocity dispersion. The outer caustics are spherical shells enveloping the galaxy. The inner caustics are rings.…

Astrophysics · Physics 2009-10-31 P. Sikivie

A small body orbiting a black hole follows a trajectory that, at leading order, is a geodesic of the black hole spacetime. Much effort has gone into computing "self force" corrections to this motion, arising from the small body's own…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Uchupol Ruangsri , Sarah J. Vigeland , Scott A. Hughes

We study a class of gravitational lensing systems consisting of an inclined ring/belt, with and without an added point mass at the centre. We show that a common feature of such systems are so-called "pseudo-caustics", across which the…

Earth and Planetary Astrophysics · Physics 2016-12-21 Ethan Lake , Zheng Zheng

In this paper we study the qualitative features induces by corrections to GR coming from String Theory, on the shadows of rotating black holes. We deal with the slowly rotating black hole solutions up to order $\mathcal{O}(a^3)$, to first…

General Relativity and Quantum Cosmology · Physics 2024-06-26 F. Agurto-Sepúlveda , J. Oliva , M. Oyarzo , D. R. G Schleicher

From the viewpoint of differential geometry and topology, we investigate the characterization of the shadows in a Kerr spacetime. Two new quantities, the length of the shadow boundary and the local curvature radius are introduced. Each…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

This work investigates the universality of cusp formation in the shadows of compact objects. The emergence of cusps is accompanied by three interrelated phenomena: a topological charge transition, an equal-area law governing the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Peng Cheng , Si-Jiang Yang

An arbitrary surface mass density of gravitational lens can be decomposed into multipole components. We simulate the ray-tracing for the multipolar mass distribution of generalized SIS (Singular Isothermal Sphere) model, based on the…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-04 Z. Chu , W. P. Lin , G. L. Li , X. Kang

We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins. The result is obtained by the generalization of the KMOC…

High Energy Physics - Theory · Physics 2024-08-12 Stefano De Angelis , Riccardo Gonzo , Pavel P. Novichkov

Black-hole shadows are purely geometric in the leading-order geometric-optics approximation: their boundary is set by null geodesics and carries no information about the polarization of the probing radiation. At subleading order, the…

General Relativity and Quantum Cosmology · Physics 2026-05-14 C. A. S. Almeida

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

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…

General Relativity and Quantum Cosmology · Physics 2026-05-26 G. G. L. Nashed

We examine the observational appearance of an optically thick, spherically symmetric, relativistic wind (a black hole wind). In a relativistic flow, the apparent optical depth becomes small in the downstream direction, while it is large in…

High Energy Astrophysical Phenomena · Physics 2015-05-13 J. Fukue , N. Sumitomo

In the present article, we study the orbital resonance corresponds to an extended object approximated up to the dipole order term in Kerr spacetime. We start with the Mathisson-Papapetrou equations under the linear spin approximation and…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Sajal Mukherjee , Santanu Tripathy

We study the problem of gravitational lensing by an isothermal elliptical density galaxy in the presence of a tidal perturbation. When the perturbation is fairly strong and oriented near the galaxy's minor axis, the lens can produce image…

Astrophysics · Physics 2009-10-31 C. R. Keeton , S. Mao , H. J. Witt

This paper explores the topologies of caustics observed in instruments that employ charged particles, such as electron and ion microscopes. These geometrical figures are studied here using catastrophe theory. The application of this…

Although the orbits of comparable mass, spinning black holes seem to defy simple decoding, we find a means to decipher all such orbits. The dynamics is complicated by extreme perihelion precession compounded by spin-induced precession. We…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Janna Levin , Becky Grossman
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