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Analytical series expansions for the bending of light in the equatorial plane of a Kerr black hole are presented in both the strong and weak deflection regimes. It is critical that these are known in analytical form so further analysis can…

General Relativity and Quantum Cosmology · Physics 2009-08-04 Savitri V. Iyer , Edward C. Hansen

A suggestion on how black holes may appear in Das-Jevicki Collective field theory is given. We study the behaviour of a `test' particle when energy is sent into the system. A perturbation moving near the potential barrier can create a…

High Energy Physics - Theory · Physics 2009-10-22 J. Russo

For the non-rotating BTZ black hole, the distributional curvature tensor field is found. It is shown to have singular parts proportional to a $\delta$-distribution with support at the origin. This singularity is related, through Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. R. Pantoja , H. Rago , R. O. Rodriguez

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

The tidal Love numbers of self-gravitating compact objects describe their response to external tidal perturbations, such as those from a companion in a binary system, offering valuable insights into their internal structure. For static…

High Energy Astrophysical Phenomena · Physics 2026-03-13 Enrico Cannizzaro , Valerio De Luca , Paolo Pani

We provide an invariant characterization of the physical properties of the Kerr spacetime. We introduce two dimensionless invariants, constructed out of some known curvature invariants, that act as detectors for the event horizon and…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Majd Abdelqader , Kayll Lake

The problem of the mutual attraction and joining of two black holes is of importance as both a source of gravitational waves and as a testbed of numerical relativity. If the holes start out close enough that they are initially surrounded by…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Richard H. Price , Jorge Pullin

The imminent detection of gravitational waves will trigger precision tests of gravity through observations of quasinormal ringing of black holes. While General Relativity predicts just two polarizations of gravitational waves, the so-called…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Paul D. Lasky , Daniela D. Doneva

We present a method for estimating the velocity of a wandering black hole and the equation of state for the gas around, based on a catalog of numerical simulations. The method uses machine learning methods based on convolutional neural…

High Energy Astrophysical Phenomena · Physics 2018-03-19 J. A. Gonzalez , F. S. Guzman

Penrose suggested that issues with the origin of the second law of thermodynamics and the remarkable homogeneous and isotropic nature of the universe on large scales can be resolved with a concept of an entropy for gravitational fields…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Taha A Malik , Rafael Lopez-Mobilia

Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

We review conceptual aspects of inflationary scenarios able to produce primordial black holes, by amplifying the size of curvature fluctuations to the level required for triggering black hole formation. We identify general mechanisms to do…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Ogan Özsoy , Gianmassimo Tasinato

We show that rapidly-spinning black holes can display turbulent gravitational behavior which is mediated by a new type of parametric instability. This instability transfers energy from higher temporal and azimuthal spatial frequencies to…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Huan Yang , Aaron Zimmerman , Luis Lehner

We develop a unified framework for analyzing black hole thermodynamics and spacetime structure in Einstein gravity coupled to causal nonlinear electrodynamics (NED) in asymptotically anti-de Sitter backgrounds. The electromagnetic sector is…

High Energy Physics - Theory · Physics 2026-03-24 H. Babaei-Aghbolagh , Komeil Babaei Velni , Song He , Fateme Isapour

We consider scalar-tensor gravity with nonminimal derivative coupling and Born-Infeld electromagnetic field which is minimally coupled to gravity. Since cosmological constant is taken into account it allowed us not only derive static black…

High Energy Physics - Theory · Physics 2020-05-22 M. M. Stetsko

We derive the Teukolsky equation for perturbations of a Kerr spacetime when the spacetime metric is written in either ingoing or outgoing Kerr-Schild form. We also write explicit formulae for setting up the initial data for the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manuela Campanelli , Gaurav Khanna , Pablo Laguna , Jorge Pullin , Michael P. Ryan

A novel approach to binary black hole gravitational wave analysis improves the process of inferring black hole properties by selecting the most accurate waveform model for each region of the parameter space, resulting in tighter constraints…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Zack Carson

The next generation of space-borne gravitational wave detectors may detect gravitational waves from extreme mass-ratio inspirals with primordial black holes. To produce primordial black holes which contribute a non-negligible abundance of…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Haoran Di , Yungui Gong

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

High Energy Physics - Theory · Physics 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

The classical Penrose process and the collisional Penrose processes involve particles decaying or interacting very close to a spinning black hole, in which some particles acquire negative energy and fall into the black hole while others…

High Energy Astrophysical Phenomena · Physics 2026-04-08 Shravan Vengalil Menon , Kun Hu , Henric Krawczynski