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The generalization of photon spheres by considering the trajectories of massive particles leads to the definition of Massive Particle Surfaces (MPS). These surfaces are built with the trajectories of massive particles, and have a partial…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Boris Bermúdez-Cárdenas , Oscar Lasso Andino

Cuspy shadow was first reported for hairy rotating black holes, whose metrics deviate significantly from the Kerr one. The non-smooth edge of the shadow is attributed to a transition between different branches of unstable but bounded…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Wei-Liang Qian , Songbai Chen , Cheng-Gang Shao , Bin Wang , Rui-Hong Yue

Schwarzschild black holes can produce strong gravitational lensing. The relativistic images are produced due to bending of light around the black hole. We propose a model equation to study the strong gravitational lensing. The model…

General Relativity and Quantum Cosmology · Physics 2012-08-17 Tushar Kanti Dey

Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple…

High Energy Physics - Theory · Physics 2015-08-07 Jay Armas , Matthias Blau

The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and…

General Relativity and Quantum Cosmology · Physics 2015-11-06 V. S. Manko , E. Ruiz

Recently, the gravitational collapse of an infinite cylindrical thin shell of matter in an otherwise empty spacetime with two hypersurface orthogonal Killing vectors was studied by Gon\c{c}alves [Phys. Rev. {\bf D65}, 084045 (2002).]. By…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

The holographic complexity of a static spherically symmetric black hole, defined as the volume of an extremal surface, grows linearly with time at late times in general relativity. The growth comes from a region at a constant transverse…

High Energy Physics - Theory · Physics 2025-08-11 Friðrik Freyr Gautason , Vyshnav Mohan , Lárus Thorlacius

Understood in terms of pure states evolving into mixed states, the possibility of information loss in black holes is closely related to the global causal structure of spacetime, as is the existence of event horizons. However, black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-30 Alex B. Nielsen , Dong-han Yeom

In this paper we study surfaces with minimal potential energy under gravitational forces, called singular minimal surfaces. We prove that a singular minimal ruled surface in a Euclidean $3-$space is cylindrical, in particular as an…

Differential Geometry · Mathematics 2023-08-11 Muhittin Evren Aydin , Ayla Erdur Kara

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We investigate the area spectrum for rotating black holes which are Kerr and BTZ black holes. For slowly rotating black holes, we use the Maggiore's idea combined with Kunstatter's method to derive their area spectra, which are equally…

High Energy Physics - Theory · Physics 2014-11-20 Yun Soo Myung

In this paper we have investigated the gravitational lensing in a spherically symmetric spacetime with torsion in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity by considering higher order terms. The torsion…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Lu Zhang , Songbai Chen , Jiliang Jing

We have shown in that for arbitrary EOS and radiation transport properties, (even) the idealized spherical gravitational collapse DOES NOT lead to the formation of trapped surfaces: 2GM(r,t)/R <=1. Hence all singularity theorems of Hawking,…

Astrophysics · Physics 2007-05-23 Abhas Mitra

Loop quantum gravity inspired partial polymer quantization in four-dimensional spacetime leads to a globally regular black hole with a single horizon. The polymerized black hole metric is characterized by the minimum length parameter $k$,…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Rahul Kumar Walia

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

Clumps of material orbiting a black hole may be disturbed, somewhat like comets in the Kuiper belt, to relatively small periastron orbits. Each periastron passage changes the orbital parameters in such a way that the orbit becomes more and…

High Energy Astrophysical Phenomena · Physics 2012-04-17 U. Kostic , A. Cadez , A. Gomboc

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Filip Hejda , Jiří Bičák

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

An exact expression for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is derived without invoking the weak field approximation. This expression, when used for the Kerr metric,…

General Relativity and Quantum Cosmology · Physics 2013-04-29 Chandrachur Chakraborty , Parthasarathi Majumdar