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Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of…

Differential Geometry · Mathematics 2026-03-25 Ben Lambert , Julian Scheuer

We study the set of trapped photons outside the event horizon of Schwarzschild-Tangherlini black holes in dimension $d\geq4$. We prove that the only trapped photons are those with constant Boyer-Lindquist coordinate radius. We then identify…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Mark Bugden

We introduce and analyze quasi-local mass using Hamiltonian methods. It is based on multipole decomposition for surfaces that are topological spheres. Based on the above model, tests were performed for Kerr spacetime for two arbitrary…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Jacek Jezierski , Tomasz Smołka

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Matt Visser

Photon circular orbits, an extreme case of light deflection, are among the hallmarks of black holes and are known to play a central role in a variety of phenomena related to these extreme objects. The very existence of such orbits when…

General Relativity and Quantum Cosmology · Physics 2019-06-28 Kostas Glampedakis , George Pappas

We study the strong gravitational lensing on the equatorial plane of a quasi-Kerr compact object with arbitrary quadrupole moments which can be used to model the super-massive central object of the galaxy. We find that, when the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Changqing Liu , Songbai Chen , Jiliang Jing

The properties of the relativistic rings which show up in images of a source when a black hole lies between the source and observer are examined. The impact parameters are calculated, along with the distances of closest approach of the rays…

Astrophysics · Physics 2009-06-23 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

We study the low angular momentum accretion of matter onto Schwarzschild or Kerr black hole using fully relativistic numerical simulations. Our aim is to include the rotation of both the gas and the black hole and the presence of the…

High Energy Astrophysical Phenomena · Physics 2016-02-24 Petra Suková , Szymon Charzyński , Agnieszka Janiuk

We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs,…

General Relativity and Quantum Cosmology · Physics 2022-06-01 D. Pugliese , H. Quevedo

It is shown that a collisionless, relativistic kinetic gas configuration propagating in the equatorial plane of a Kerr black hole undergoes a relaxation process and eventually settles down to a stationary, axisymmetric configuration…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Paola Rioseco , Olivier Sarbach

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Bozza , S. Capozziello , G. Iovane , G. Scarpetta

A simple criterion is given to rule out the existence of closed trapped surfaces in large open regions inside black holes.

General Relativity and Quantum Cosmology · Physics 2023-12-06 Gustavo Dotti

In the presence of a minimal length physical objects cannot collapse to an infinite density, singular, matter point. In this note we consider the possible final stage of the gravitational collapse of "thick" matter layers. The energy…

General Relativity and Quantum Cosmology · Physics 2013-12-24 Piero Nicolini , Alessio Orlandi , Euro Spallucci

Thin Cr films 28-nm thick deposited on glass substrates were processed by scanning low-intensity femtosecond laser pulses with energy well below single-pulse damage threshold. Two types of laser-induced periodic surface structures (LIPSS)…

Gapless Luttinger liquid is conventionally viewed as topologically trivial, unless it hosts degenerate ground states and or entanglement spectrum, which necessitates partial bulk degree of freedom to be gapped out. Here we predict an…

Strongly Correlated Electrons · Physics 2021-07-27 Sen Niu , Yucheng Wang , Xiong-Jun Liu

We investigate the local stability of strongly magnetized relativistic tori orbiting Kerr black holes, for the case of a purely toroidal magnetic field topology. Our approach encompasses both solving the full dispersion relation numerically…

High Energy Astrophysical Phenomena · Physics 2015-02-12 Maciek Wielgus , P. Chris Fragile , Ziming Wang , Julia Wilson

Photonspheres, curved hypersurfaces on which massless particles can perform closed geodesic motions around highly compact objects, are an integral part of generic black-hole spacetimes. In the present compact paper we prove, using…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Shahar Hod

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

In this paper, we discuss the spherically symmetric gravitational collapse of matter fields in the de Sitter universe. The energy-momentum tensor of the matter field is assumed to admit a wide variety including dust, perfect fluids with…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Akriti Garg , Ayan Chatterjee

We study scattering and capture of particles by a rotating black hole in the five-dimensional spacetime described by the Myers-Perry metric. The equations of geodesic motion are integrable, and allow us to calculate capture conditions for a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cisco Gooding , Andrei V. Frolov