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We extend our previous work in which we derived the most general form of an induced metric describing the geometry of an axially symmetric extremal isolated horizon (EIH) in asymptotically flat spacetime. Here we generalize it to EIHs in…

General Relativity and Quantum Cosmology · Physics 2022-08-23 David Matejov , Jiri Podolsky

We study formation of black holes in the Friedmann universe. We present a formulation of the Einstein equations under the constant mean curvature time-slicing condition. Our formalism not only gives us the analytic solution of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki

While the formalism of isolated horizons is known for some time, only quite recently the near horizon solution of Einstein's equations has been found in the Bondi-like coordinates by Krishnan in 2012. In this framework, the space-time is…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Aleš Flandera

It is a common belief that a theory of quantum gravity should ultimately cure curvature singularities which are inevitable within General Relativity, and plague for instance the Schwarzschild and Kerr metrics, usually considered as…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Marco Calzà , Davide Pedrotti , Sunny Vagnozzi

In this paper, the curvature structure of a (2+1)-dimensional black hole in the massive-charged-Born-Infeld gravity is investigated. The metric that we consider is characterized by four degrees of freedom which are the mass and electric…

High Energy Physics - Theory · Physics 2023-02-22 Mahdis Ghodrati , Daniele Gregoris

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which…

High Energy Physics - Theory · Physics 2015-06-26 Jacob D. Bekenstein

We study the radiative properties of a spherical and singularity-free black-hole geometry recently proposed in the literature. Contrary to the Schwarzschild spacetime, this geometry is geodesically complete and regular, and, instead of the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Asier Alonso-Bardaji , David Brizuela , Marc Schneider

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

It is congruous with the quantum nature of the world to view the space-time geometry as an emergent structure that shows classical features only at some observational level. One can thus conceive the space-time manifold as a purely…

High Energy Physics - Theory · Physics 2016-03-16 R. Casadio , A. Giugno , O. Micu

The standard (Euclidean) action principle for the gravitational field implies that for spacetimes with black hole topology, the opening angle at the horizon and the horizon area are canonical conjugates. It is shown that the opening angle…

General Relativity and Quantum Cosmology · Physics 2010-04-06 S. Carlip , C. Teitelboim

We write explicitly the complete Lorentzian metric of a singularity-free spacetime where a black hole transitions into a white hole located in its same asymptotic region. In particular, the metric interpolates between the black and white…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Muxin Han , Carlo Rovelli , Farshid Soltani

We discuss a sequence of numerically constructed geometries describing binary black hole event horizons -- providing the necessary input for characteristic evolution of the exterior spacetime. Our sequence approaches a single Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Sascha Husa , Roberto Gomez , Jeffrey Winicour

We investigate a novel probe of spatial geometry of the Universe through the observation of gravitational waves (GWs) induced by first order curvature perturbations. The existence of spatial curvature leaves imprints on the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-18 Utkarsh Kumar , Udaykrishna Thattarampilly , Pankaj Chaturvedi

We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Gregory B. Cook , Saul A. Teukolsky

Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are discussed and observational…

Astrophysics · Physics 2014-11-18 M. Yu. Khlopov

Constraints on the geometries of static spherically symmetric black holes are obtained by requiring that the spacetime curvature be analytic at the event horizon. Further constraints are obtained by requiring that the semiclassical trace…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull

We carefully examine the exact analytic spectrum of quasinormal modes of general black holes in the so-called subtracted geometry of maximally supersymmetric supergravity. These black holes have the same area and surface gravity at both the…

High Energy Physics - Theory · Physics 2025-04-22 Mirjam Cvetic , Malcolm J. Perry

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Alba Kalaja , Nicola Bellomo , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese , Ilia Musco , Alvise Raccanelli , Licia Verde

The work is devoted to the construction of explicit embeddings for the metrics of the black holes, formed by nonsingular matter distribution. One of the possible examples of such type of solutions is regular black hole. Using the existing…

General Relativity and Quantum Cosmology · Physics 2021-06-08 A. D. Kapustin , S. A. Paston

We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has…

High Energy Physics - Theory · Physics 2009-11-07 Evgeny Sorkin , Tsvi Piran