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In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

We present a model for studying the formation and evaporation of non-singular (quantum corrected) black holes. The model is based on a generalized form of the dimensionally reduced, spherically symmetric Einstein--Hilbert action and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Tim Taves , Gabor Kunstatter

This paper studies the whole process of gravitational collapse and accretion of a massless scalar field in asymptotically flat spacetime. Two kinds of initial configurations are considered. One is the initial data without black hole, the…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Zhoujian Cao , Rong-Gen Cai , Run-Qiu Yang

We construct a scalar polynomial curvature invariant that transforms covariantly under a conformal transformation from any spherically symmetric metric. This invariant has the additional property that it vanishes on the event horizon of any…

General Relativity and Quantum Cosmology · Physics 2017-04-26 David D. McNutt , Don N. Page

We investigate the massless scalar field perturbations, including the quasinormal mode spectrum and the ringdown waveform, of a regular black hole spacetime that was derived via the Loop Quantum Gravity inspired polymer quantization of…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey , Gabor Kunstatter

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

Gravitational collapse of a massless scalar field in spherically symmetric anti-de Sitter (AdS) spacetimes presents a new phenomenology with a series of critical points whose dynamics is discretely self-similar as in the asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Daniel Santos-Oliván , Carlos F. Sopuerta

We present a detailed geometric analysis of adiabatic, anisotropic gravitational collapse formulated in a single Painlev\'e-Gullstrand coordinate system that covers both the interior and exterior, thereby eliminating cross-chart matching…

General Relativity and Quantum Cosmology · Physics 2025-12-19 G. Abellán , N. Bolívar , A. Alexandrova , I. Vasilev

We perform (3+1)-dimensional simulations of primordial black hole (PBH) formation starting from the spheroidal super-horizon perturbations. We investigate how the ellipticity (prolateness or oblateness) affects the threshold of PBH…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Chul-Moon Yoo , Tomohiro Harada , Hirotada Okawa

Recently, studies of the gravitational collapse of a scalar field within spherically symmetric AdS spacetimes was presented in \cite{Bizon:2011gg,Jalmuzna:2011qw} which showed an instability of pure AdS to black hole formation. In…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Alex Buchel , Luis Lehner , Steven L. Liebling

We perform a numerical study of the critical regime at the threshold of black hole formation in the spherically symmetric, general relativistic collapse of collisionless matter. The coupled Einstein-Vlasov equations are solved using a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ignacio Olabarrieta , Matthew W. Choptuik

Using the concept of apparent horizon for dynamical black holes, we revisit the formation of primordial black holes (PBH) in the early universe for both linear and non-linear regimes. First, we develop the perturbation theory for…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Alireza Allahyari , Javad T. Firouzjaee , Ali Akbar Abolhasani

At the threshold of black hole formation in the gravitational collapse of a scalar field a naked singularity is formed through a universal critical solution that is discretely self-similar. We study the global spacetime structure of this…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose M. Martin-Garcia , Carsten Gundlach

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

In this paper we study an Oppenheimer-Snyder (OS)-like gravitational collapse in the general framework of scale-dependent gravity. We explore the collapse in spherically symmetric solutions suggested both by asymptotically safe gravity…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Ramin Hassannejad , Gaetano Lambiase , Fabio Scardigli , Fatimah Shojai

We study gravitational collapse in K-essence model with shift symmetry. For these models, we have the formation of two types of horizons, event and sonic. For the particular case $K(X)=X+\beta X^2$ we found three different regimes. In the…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Radouane Gannouji , Yolbeiker Rodríguez Baez

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

We study black hole formation during the gravitational collapse of a massless scalar field in asymptotically $AdS_D$ spacetimes for $D=4,5$. We conclude that spherically symmetric gravitational collapse in asymptotically $AdS$ spaces is…

High Energy Physics - Theory · Physics 2013-08-09 H. P. de Oliveira , Leopoldo A. Pando Zayas , E. L. Rodrigues

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

In recent years it has become apparent that intriguing phenomenology exists at the threshold of black hole formation in a large class of general relativistic collapse models. This phenomenology, which includes scaling, self-similarity and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. W. Choptuik
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