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We discuss a novel mechanism to generate gravitational waves in the early universe. A standard way to produce primordial black holes is to enhance at small-scales the overdensity perturbations generated during inflation. The latter, upon…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 V. De Luca , V. Desjacques , G. Franciolini , A. Riotto

We construct a class of linear partial differential equations describing general perturbations of non-rotating black holes in 3D Cartesian coordinates. In contrast to the usual approach, a single equation treats all radiative $\ell -m$…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Philippos Papadopoulos , Edward Seidel , Lee Wild

Black holes are extreme outcomes of General Relativity, and can form through a variety of ways, including gravitational collapse of massive stars, or quantum fluctuations in the early universe. Here, we ask the question of whether they can…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Diego Blas , Vitor Cardoso , Jose María Ezquiaga

Gravitational radiation is properly defined only at future null infinity ($\scri$), but in practice it is estimated from data calculated at a finite radius. We have used characteristic extraction to calculate gravitational radiation at…

General Relativity and Quantum Cosmology · Physics 2010-01-08 C. Reisswig , N. T. Bishop , D. Pollney , B. Szilagyi

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

We study the superradiant scattering of gravitational waves by a nearly extremal black hole (dimensionless spin $a=0.99$) by numerically solving the full Einstein field equations, thus including backreaction effects. This allows us to study…

General Relativity and Quantum Cosmology · Physics 2014-03-26 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius

We compute the shadows of colliding black holes using the Kastor-Traschen cosmological multiblack hole solution that is an exact solution describing the collision of maximally charged black holes with a positive cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2011-10-20 Daisuke Nitta , Takeshi Chiba , Naoshi Sugiyama

Black holes have sometimes been described as astrophysical particle accelerators because finite energy particles can collide near the horizon with divergent center-of-mass (CM) energy. The collisions are classified by the radial motion of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Delilah E. A. Gates

According to the theory of general relativity, the relative acceleration of masses generates gravitational radiation. Although gravitational radiation has not yet been detected, it is believed that extremely violent cosmic events, such as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Douglas N. Arnold , Arup Mukherjee , Luc Pouly

The Bowen-York initial value data typically used in numerical relativity to represent spinning black hole are not those of a constant-time slice of the Kerr spacetime. If Bowen-York initial data are used for each black hole in a collision,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a comparison between the two we derive several results of linear…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Maitraya K Bhattacharyya , David Hilditch , K Rajesh Nayak , Hannes R. Rüter , Bernd Bruegmann

An explicit example is found showing how a modified theory of gravity can be constrained with the ringdown signals from merger of binary black holes. This has been made possible by the fact that the modified gravitational theory considered…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Jiahui Bao , Changfu Shi , Haitian Wang , Jian-dong Zhang , Yiming Hu , Jianwei Mei , Jun Luo

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

In this paper, we consider the gravitational radiation generated by the collision of highly relativistic particles with rotating Kerr black holes. We use the Sasaki-Nakamura formalism to compute the waveform, energy spectra and total energy…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Vitor Cardoso , José P. S. Lemos

We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Sam Young , Christian T. Byrnes , Misao Sasaki

Scenarios of large extra dimensions have enhanced the importance for the study of black holes in higher dimensions. In this paper, we analyze an axisymmetric system of two black holes. Specifically, the Bowen-York method is generalized for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Tetsuya Shiromizu , Masaru Shibata

In principle, rapidly rotating black holes (BHs) with accretion disks -- either prograde or retrograde -- could naturally act as high-energy particle colliders (HEPCs) because particles falling in from infinity that collide with particles…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Delilah E. A. Gates

We introduce a new approach for finding high accuracy, free and closed-form expressions for the gravitational waves emitted by binary black hole collisions from ab initio models. More precisely, our expressions are built from numerical…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Manuel Tiglio , Aarón Villanueva

Hawking radiation of uncharged and charged scalars from accelerating and rotating black holes is studied. We calculate the tunneling probabilities of these particles from the rotation and acceleration horizons of these black holes. Using…

High Energy Physics - Theory · Physics 2011-06-20 Usman A. Gillani , Mudassar Rehman , K. Saifullah