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We study the possible black string-black hole transition by analyzing the structure of the apparent horizon for a large family of time-symmetric initial data. We observe that, as judged by the apparent horizon, it is possible to generate…

High Energy Physics - Theory · Physics 2009-11-11 Matthew Anderson , Luis Lehner , Jorge Pullin

It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hotta , K. Sasaki , T. Sasaki

We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain spectral representation of the initial data to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

It has been argued by several authors that the quantum mechanical spectrum of black hole horizon area must be discrete. This has been confirmed in different formalisms, using different approaches. Here we concentrate on two approaches, the…

High Energy Physics - Theory · Physics 2009-11-07 Saurya Das , P. Ramadevi , U. A. Yajnik

The curved geometry of a spacetime manifold arises as a solution of Einstein's gravitational field equation. We show that the metric of a spherically symmetric gravitational field configuration can be viewed as an optical metric created by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuri N. Obukhov

Primordial black holes (PBHs) are usually assumed to be described by the Schwarzschild or Kerr metrics, which however feature unwelcome singularities. We study the possibility that PBHs are non-singular objects, considering three…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Marco Calzà , Davide Pedrotti , Sunny Vagnozzi

We study a black hole radiation inside the apparent horizon in quantum gravity. First we perform a canonical quantization for spherically symmetric geometry where one of the spatial coordinates is dealt as the time variable since we would…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Akio Hosoya , Ichiro Oda

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of quantum type I…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan Engle

Horizons and bound photon orbits are defining features of black holes that translate into key features of black hole images. We present a purely geometric proof that spherically symmetric, isolated objects with horizons in gravity theories…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Raúl Carballo-Rubio , Astrid Eichhorn

Recent astronomical data on Black hole observations are reviewed. The arguments in favor that the observed black holes are predominantly primordial (PBH) are presented. The mass spectrum of PBH is best fit to the log-normal one. A model of…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 A. D. Dolgov

It is known that the event horizon of a black hole can often be identified from the zeroes of some curvature invariants. The situation in lower dimensions has not been thoroughly clarified. In this work we investigate both (2+1)- and…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Daniele Gregoris , Yen Chin Ong , Bin Wang

When numerically solving Einstein's equations for binary black holes (BBH), we must find initial data on a three-dimensional spatial slice by solving constraint equations. The construction of initial data is a multi-step process, in which…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Iago B. Mendes , Nils L. Vu , Oliver Long , Harald P. Pfeiffer , Robert Owen

Smooth spacetimes possessing a (global) one-parameter group of isometries and an associated Killing horizon in Einstein's theory of gravity are investigated. No assumption concerning the asymptotic structure is made, thereby, the selected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Istvan Racz

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

This paper is a biased review of primordial black hole (PBH) formation and abundance estimation. We first review the three-zone model for PBH formation to help an intuitive understanding of the PBH formation process. Then, for more accurate…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo

Recent advancements in observational techniques have led to new tests of the general relativistic predictions for black-hole spacetimes in the strong-field regime. One of the key ingredients for several tests is a metric that allows for…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Dirk Heumann , Dimitrios Psaltis

We present a method to construct conformally curved initial data for charged black hole binaries with spin on arbitrary orbits. We generalize the superposed Kerr-Schild, extended conformal thin sandwich construction from [Lovelace et al.,…

General Relativity and Quantum Cosmology · Physics 2022-02-25 Soham Mukherjee , Nathan K. Johnson-McDaniel , Wolfgang Tichy , Steven L. Liebling

The isolated horizon formalism recently introduced by Ashtekar et al. aims at providing a quasi-local concept of a black hole in equilibrium in an otherwise possibly dynamical spacetime. In this formalism, a hierarchy of geometrical…

General Relativity and Quantum Cosmology · Physics 2010-11-11 E. Gourgoulhon , J. L. Jaramillo