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Gravitational waves from inspiraling sub-solar mass compact objects would provide almost definitive evidence for the existence of primordial black holes. In this chapter, we explain why these exotic objects are interesting candidates for…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Andrew L. Miller

We consider the collisions of plane gravitational and electromagnetic waves with distinct wavefronts and of arbitrary polarizations in a Minkowski background. We first present a new, completely geometric formulation of the characteristic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , J. B. Griffiths

We construct initial data for several black holes with arbitrary momenta and spins by a new method that is based on a compactification of Brill-Lindquist wormholes. When treated numerically, the method leads to a significant simplification…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. R. Brandt , B. Bruegmann

We construct and evolve non-rotating vacuum initial data with a ring singularity, based on a simple extension of the standard Brill-Lindquist multiple black-hole initial data, and search for event horizons with spatial slices that are…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Marcelo Ponce , Carlos Lousto , Yosef Zlochower

Choptuik's critical phenomena in general relativity is revisited in the affine-null metric formulation of Einstein's equations for a massless scalar field in spherical symmetry. Numerical solutions are obtained by evolution of initial data…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Thomas Mädler , Olaf Baake , Hamideh Hosseini , Jeffrey Winicour

We have developed a general method for finding apparent horizons in 3D numerical relativity. Instead of solving for the partial differential equation describing the location of the apparent horizons, we expand the closed 2D surfaces in…

General Relativity and Quantum Cosmology · Physics 2016-08-15 P. Anninos , K. Camarda , J. Libson , J. Massó , E. Seidel , W. -M. Suen

We investigate the possibility of having an event horizon within several classes of metrics that asymptote to the maximally supersymmetric IIB plane wave. We show that the presence of a null Killing vector (not necessarily covariantly…

High Energy Physics - Theory · Physics 2009-11-10 James T. Liu , Leopoldo A. Pando Zayas , Diana Vaman

This work describes a template-free method to search gravitational waves (GW) using data from the LIGO observatories simultaneously. The basic idea of this method is that a GW signal is present in a short-duration data segment if the…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Javier M. Antelis , Claudia Moreno

Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, have a fixed area and must propagate outward with a velocity equal to the velocity of radially…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Edward Malec

Relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source and their solutions are studied. The existence of certain relativistic critical tidal currents are thereby elucidated.…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Bahram Mashhoon

In general relativity, a gravitational horizon (more commonly known as the "apparent horizon") is an imaginary surface beyond which all null geodesics recede from the observer. The Universe has an apparent (gravitational) horizon, but…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Fulvio Melia

The gravitational wave detectors currently in operation perform the analysis of their scientific data jointly. Concerning the search for bursting sources, coherent data analysis methods have been shown to be more efficient. In the coherent…

General Relativity and Quantum Cosmology · Physics 2009-06-01 Olivier Rabaste , Eric Chassande-Mottin , Archana Pai

Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, we find the exact solutions of the…

Mathematical Physics · Physics 2011-06-21 Delia Ionescu-Kruse

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

Gravitational-wave observations have the potential of allowing the identification of a population of merging primordial black-hole binaries. We provide an overview of the capabilities of present and future GW detectors, with a special…

General Relativity and Quantum Cosmology · Physics 2024-08-01 Francesco Iacovelli , Michele Maggiore

We present numerical simulations of a Kerr black hole perturbed by a pulse of ingoing gravitational radiation. For strong perturbations we find up to five concentric marginally outer trapped surfaces. These trapped surfaces appear and…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Tony Chu , Harald P. Pfeiffer , Michael I. Cohen

From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of event horizon fails. At present, the apparent or the trapping horizon seem its best replacements in various areas of black hole…

General Relativity and Quantum Cosmology · Physics 2013-09-20 Valerio Faraoni

From the similarity between null infinity and horizons, we show how to set up proper frames near generic isolated horizons. The asymptotic expansion and reference spin frame are used to study gravitational radiation near generic isolated…

General Relativity and Quantum Cosmology · Physics 2008-07-18 Yu-Huei Wu , Chih-Hung Wang

The reliability of the first detection is one of the most interesting challenges for the gravitational wave community. To increase the detection confidence, the LIGO and Virgo collaborations have already started coincident observations…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Marco Drago

To observe the dynamic formation of black holes in general relativity, one essentially needs to prove that closed trapped surfaces form during evolution from initial data that do not already contain trapped surfaces. We discuss the recent…

Analysis of PDEs · Mathematics 2020-03-03 Annegret Y. Burtscher