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We describe a method for initializing characteristic evolutions of the Einstein equations using a linearized solution corresponding to purely outgoing radiation. This allows for a more consistent application of the characteristic (null…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Nigel Bishop , Denis Pollney , Christian Reisswig

Small black holes should have formed in the early Universe if the density contrast was high enough. This article aims at giving a - biased and partial - short overview of the latest breakthroughs in this field. It first deals with tentative…

Astrophysics · Physics 2007-05-23 G. Boudoul , A. Barrau

New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the…

General Physics · Physics 2019-03-12 Laurenţiu Bubuianu , Sergiu I. Vacaru

We consider the formation of primordial black holes (PBHs), during the radiation-dominated Universe, generated from the collapse of super-horizon curvature fluctuations that are overlapped with others on larger scales. Using a set of…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Albert Escrivà , Chul-Moon Yoo

General relativity predicts the existence of black holes, compact objects whose spacetimes depend on only their mass, spin, and charge in vacuum (the "no hair" theorem). As various observations probe deeper into the strong fields of black…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Sarah J. Vigeland

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. When the mass parameter of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio Dain

Primordial black holes (PBHs) are those which may have formed in the early Universe and affected the subsequent evolution of the Universe through their Hawking radiation and gravitational field. To constrain the early Universe from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-13 Tomohiro Harada

It is argued that the bulk of black holes (BH) in the universe are primordial (PBH). This assertion is strongly supported by the recent astronomical observations, which allow to conclude that supermassive BHs with $M= (10^6 - 10^9) M_\odot$…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 A. D. Dolgov

Primordial black holes (PBHs) are not as exotic as once thought and constitute a compelling non-particle dark matter (DM) candidate. We present a novel general PBH formation mechanism from scalar field fragmentation, which does not suffer…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-06 Volodymyr Takhistov

We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

Primordial Black Holes (PBHs) are, typically light, black holes which can form in the early Universe. There are a number of formation mechanisms, including the collapse of large density perturbations, cosmic string loops and bubble…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Anne M. Green

With the direct discovery of gravitational waves, black holes have regain interest in the recent years. In particular primordial black holes (PBHs), which originate from the very early Universe, may constitute (at least in part) dark…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Alexandre Arbey

Numerical relativity codes now being developed will evolve initial data representing colliding black holes at a relatively late stage in the collision. The choice of initial data used for code development has been made on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos O. Lousto , Richard H. Price

Primordial black holes (PBHs) might be formed in the early Universe and could comprise at least a fraction of the dark matter. Using the recently released GWTC-2 dataset from the third observing run of the LIGO-Virgo Collaboration, we…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Kaze W. K. Wong , Gabriele Franciolini , Valerio De Luca , Vishal Baibhav , Emanuele Berti , Paolo Pani , Antonio Riotto

We provide a (simplified) quantum description of primordial black holes at the time of their formation. Specifically, we employ the horizon quantum mechanics to compute the probability of black hole formation starting from a simple quantum…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. Casadio , A. Giugno , A. Giusti , M. Lenzi

I describe the construction of initial data for the Einstein vacuum equations that can represent a collision of two black holes. I stress in the main physical ideas.

General Relativity and Quantum Cosmology · Physics 2009-12-07 S. Dain

The major source of ground-based gravitational wave detectors, the inspiral and merger of comparable mass binary black holes (BBH), consists of a slow quasicircular inspiral, a merger to form a single remnant hole, and the quasinormal…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Richard H. Price , Ritesh Bachhar , Gaurav Khanna

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard A. Matzner , Mijan F. Huq , Deirdre Shoemaker

Recent work by Headrick, Sasieta and myself provides an extension of the HRT formula for asymptotically flat spacetimes. I use this formula to construct a holographic model of black hole evaporation in four-dimensional asymptotically flat…

High Energy Physics - Theory · Physics 2026-05-26 Divij Gupta

It is believed that primordial black holes (PBHs), if they exist, can serve as a powerful tool to probe the early stage of the cosmic history. Essentially, in the radiation dominated universe, PBHs could form by the gravitational collapse…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Che-Yu Chen