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The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

Special features of surface gravity waves in deep fluid flow with constant vertical shear of velocity is studied. It is found that the mean flow velocity shear leads to non-trivial modification of surface gravity wave modes dispersive…

Astrophysics · Physics 2016-08-30 G. Gogoberidze , L. Samushia , G. D. Chagelishvili , J. G. Lominadze , W. Horton

Gravitational waves are rapidly becoming a very reliable tool for testing alternative theories of gravity. In particular, features in the gravitational wave emission during black hole ringdown phase provide a direct probe of the spacetime…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ruifeng Dong , Dejan Stojkovic

These lectures aim at providing an introduction to the properties of gravitational waves and in particular to those gravitational waves that are expected as a consequence of perturbations of black holes and neutron stars. Imprinted in the…

General Relativity and Quantum Cosmology · Physics 2009-04-16 Luciano Rezzolla

We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Alan Coley , David McNutt

We present a novel model-independent generic mechanism for primordial black hole formation within the context of non-singular matter bouncing cosmology. In particular, considering a short duration transition from the matter contracting…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Theodoros Papanikolaou , Shreya Banerjee , Yi-Fu Cai , Salvatore Capozziello , Emmanuel N. Saridakis

We study the production of scalar-induced gravitational waves and primordial black holes in a single-field inflation model with a localized bump or dip feature in the potential. Introducing such a localized feature temporarily decelerates…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Xiang Zhang , Zhao-Huan Yu

Einstein's vacuum equations are solved up to the second approximation for imploding quadrupole gravitational waves. The implosion generates a black hole singularity irrespective of the strength of the waves.

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. B. Bonnor , M. S. Piper

In this article we investigate the cumulative stochastic gravitational wave spectra as a tool to gain insight on the creation mechanism of primordial black holes. We consider gravitational waves from the production mechanism of primordial…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Indra Kumar Banerjee , Ujjal Kumar Dey

In this paper, we have presented an algorithm to generate various black hole solutions in general relativity and alternative theories of gravity. The algorithm involves few dimensional parameters that are assigned suitable values to specify…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Farook Rahaman , Mubasher Jamil , Ashis Ghosh , Kausik Chakraborty

Recently it was shown that essentially all regular black hole models constructed so far can be obtained as solutions of vacuum gravity equations, upon considering an infinite series of quasi-topological higher curvature corrections. Here we…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Francesco Di Filippo , Ivan Kolář , David Kubiznak

The most promising way to compute the gravitational waves emitted by binary black holes (BBHs) in their last dozen orbits, where post-Newtonian techniques fail, is a quasistationary approximation introduced by Detweiler and being pursued by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ilya Mandel

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

The rate of gravitational wave bursts from the mergers of massive primordial black holes in clusters is calculated. Such clusters of black holes can be formed through phase transitions in the early Universe. The central black holes in…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-23 V. I. Dokuchaev , Yu. N. Eroshenko , S. G. Rubin

Surface waves on a stationary flow of water are considered, in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Germain Rousseaux , Philippe Maissa , Christian Mathis , Pierre Coullet , Thomas G. Philbin , Ulf Leonhardt

Loop Quantum Gravity is a theory that attempts to describe the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity. According to Loop Quantum Gravity, in a gravitational field, geometric…

General Relativity and Quantum Cosmology · Physics 2021-12-16 W. F. Chagas-Filho

In these lectures general relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves as well as stationary fields like…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. W. van Holten

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2009-06-29 M. De Laurentis , S. Capozziello

Gravitational wave echos from the coalescence of black hole binaries are often viewed as signals beyond general relativity or standard model. In this work, we show that these echos are inevitable in the black holes coalescence described by…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Yu-Song Cao , YanXia Liu , Ding-Fang Zeng

A novel methodology for analysing the relation between the energy density in gravitational waves and primordial power spectra is developed. Focusing on scalar-induced gravitational radiation, this methodology is applied to a number of…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-14 Daniel Frolovsky , Florian Kuhnel , Ioanna Stamou