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We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Florian Beyer , Michael Koppitz

The construction of initial-data sets representing binary black-hole configurations in quasi-circular orbits is studied in the context of the conformal-imaging formalism. An effective-potential approach for locating quasi-circular orbits is…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Gregory B. Cook

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

According to a variant of the hoop conjecture, if we localize two particles within the Schwarzschild radius corresponding to their center of mass energy, then a black hole will form. Despite a large body of work on the formation of…

General Relativity and Quantum Cosmology · Physics 2018-06-01 Anshul Saini , Dejan Stojkovic

We propose a physically sensible formulation of initial value problem for black hole perturbations in higher-order scalar-tensor theories. As a first application, we study monopole perturbations around stealth Schwarzschild solutions in a…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

An orbiting black hole binary will generate strong gravitational radiation signatures, making these binaries important candidates for detection in gravitational wave observatories. The gravitational radiation is characterized by the orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Erin Bonning , Pedro Marronetti , David Neilsen , Richard Matzner

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto

We consider several early Universe models that allow for production of large curvature perturbations at small scales. As is well known, such perturbations can lead to formation of primordial black holes (PBHs). We briefly review the today's…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-10 P. A. Klimai , E. V. Bugaev

In this paper, the formation of primordial black holes (PBHs) is reinvestigated using inflationary $\alpha$-attractors. Instead of using the conventional Press-Schechter theory to compute the abundance, the optimized peaks theory is used,…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 Rafid Mahbub

We study the transformation of multipolar decompositions of gravitational radiation under rotations and boosts. Rotations to the remnant black hole's frame simplify the waveforms from the merger of generic spinning black hole binaries.…

General Relativity and Quantum Cosmology · Physics 2010-05-12 L. Gualtieri , E. Berti , V. Cardoso , U. Sperhake

Within the isolated horizon formalism, we investigate a static axisymmetric space-time of a black hole influenced by matter in its neighborhood. To illustrate the role of ingredients and assumptions in this formalism, we first show how, in…

General Relativity and Quantum Cosmology · Physics 2025-01-13 Aleš Flandera , David Kofroň , Tomáš Ledvinka

We investigate the electromagnetic radiation released during the high energy collision of a charged point particle with a four-dimensional Schwarzschild black hole. We show that the spectra is flat, and well described by a classical…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Vitor Cardoso , Jose' P. S. Lemos , Shijun Yoshida

In a Universe with nearly-Gaussian initial curvature perturbations, the abundance of primordial black holes can be derived from the curvature power spectrum. When the latter is enhanced within a narrow range around a characteristic scale,…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-25 Jacopo Fumagalli , Jaume Garriga , Cristiano Germani , Ravi K. Sheth

In the presence of the local-type primordial non-Gaussianity, it is known that the clustering of primordial black holes (PBHs) emerges even on super-horizon scales at the formation time. This effect has been investigated in the high-peak…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-03 Takahiko Matsubara , Takahiro Terada , Kazunori Kohri , Shuichiro Yokoyama

In this paper we consider the collision of black holes with parallel spins using first order perturbation theory of rotating black holes (Teukolsky formalism). The black holes are assumed to be close to each other, initially non boosted and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

We numerically study the primordial black hole (PBH) formation by an isocurvature perturbation of a massless scalar field on super Hubble scales in the radiation-dominated universe. As a first step we perform simulations of spherically…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Chul-Moon Yoo , Tomohiro Harada , Shin'ichi Hirano , Hirotada Okawa , Misao Sasaki

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

Black hole perturbation theory, or more generally, perturbation theory on a Schwarzschild bockground, has been applied in several contexts, but usually under the simplifying assumption that the ADM momentum vanishes, namely, that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Reinaldo J. Gleiser , Alfredo E. Dominguez

We model a radiating, moving black hole in terms of a worldtube-nullcone boundary value problem. We evolve this data in the region interior to the worldtube but exterior to a trapped surface by means of a characteristic evolution based upon…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Gomez , L. Lehner , R. L. Marsa , J. Winicour