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The higher dimensional spherical symmetric scalar field collapse problem is studied in the light of the critical behavior in black hole formation. To make the analysis tractable, the self similarity is also imposed. By giving a new view to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jiro Soda , Kouichirou Hirata

We study perturbations of a complex scalar field during reheating with no self-interaction in the regime $ \mu \gg H$, when the scalar field has a fast oscillatory behaviour (close to a pressure-less fluid). We focus on the precise…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-05 Karim Carrion , Juan Carlos Hidalgo , Ariadna Montiel , Luis E. Padilla

We study gravitational collapse for the Starobinsky $R^2$ model, a particular example of an $f(r)$ theory, in a spherically symmetric spacetime. We add a massless scalar field as matter content to the spacetime. We work in the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Yolbeiker Rodríguez Baez

We report a new black hole scalarization mechanism and disclose novel dynamical critical phenomena in the process of the nonlinear accretion of the scalar field into black holes. The accretion process can transform a seed black hole into a…

General Relativity and Quantum Cosmology · Physics 2022-04-25 Cheng-Yong Zhang , Qian Chen , Yunqi Liu , Wen-Kun Luo , Yu Tian , Bin Wang

Solutions to the Einstein equations near the threshold of black hole formation exhibit remarkable behavior known as critical phenomena gravitational collapse. In this work we perform characteristic evolution in compactified Bondi…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rita P. Santos , Krinio Marouda , David Hilditch

We perform dynamical and nonlinear numerical simulations to study critical phenomena in the gravitational collapse of massless scalar fields in the absence of spherical symmetry. We evolve axisymmetric sets of initial data and examine the…

General Relativity and Quantum Cosmology · Physics 2019-02-18 Thomas W. Baumgarte

We study critical phenomena in the collapse of rotating ultrarelativistic perfect fluids, in which the pressure $P$ is related to the total energy density $\rho$ by $P=\kappa\rho$, with $\kappa$ a constant. We generalize earlier results for…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Carsten Gundlach , Thomas W. Baumgarte

The gravitational collapse of a massless scalar field enclosed with a perfectly reflecting wall in a spacetime with a cosmological constant $\Lambda$ is investigated. The mass scaling for the gapped collapse $ M_{AH}-M_g \propto…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Rong-Gen Cai , Li-Wei Ji , Run-Qiu Yang

The existence of a positive cosmological constant leads naturally to two fundamental scales of length, being the De Sitter horizon and the radius of the cell associated with a holographic degree of freedom. Associated with each of those…

General Physics · Physics 2008-12-22 Scott Funkhouser

Consider any 1-parameter family of initial data such that data with parameter value p > p* form black holes, and data with p < p* do not. As p -> p* from above ("critical collapse"), the black hole mass scales as M ~ (p-p*)^gamma, where the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carsten Gundlach , Jose M. Martin-Garcia

We present the findings of an investigation of critical behavior in the collapse of spherically symmetric distributions of massive scalar field. Two distinct types of phase transition are observed at the verge of black hole formation and a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers , Patrick R. Brady , Sergio M. C. V. Goncalves

We examine ways to write the Choptuik critical solution as the evolution of scale invariant variables. It is shown that a system of scale invariant variables proposed by one of the authors does not evolve periodically in the Choptuik…

General Relativity and Quantum Cosmology · Physics 2016-08-25 David Garfinkle , Ken Meyer

As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Carsten Gundlach , David Hilditch , José M. Martín-García

The critical exponents and the critical amplitude ratio of the scalar model are determined using finite-temperature field theory with auxiliary mass. A new numerical method is developed to solve an evolution equation. The results are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenzo Ogure , Joe Sato

We study quasinormal modes of massless scalar and fermion fields in the near extremal Reissner-Nordstr{\"o}m black hole, and relate them to Choptuik scaling form following a recently proposed analytic approach. For both massless cases,…

High Energy Physics - Theory · Physics 2009-11-07 Won Tae Kim , John J. Oh

We examine the stability of charged Lovelock black hole solutions under vector type and scalar type perturbations. We find the suitable master variables for the stability analysis; the equations for these variables are the Schrodinger type…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Tomohiro Takahashi

First results of a numerical investigation of primordial black hole formation in the radiation dominated phase of the Early Universe are presented. The simulations follow the gravitational collapse of three different families of…

Astrophysics · Physics 2007-05-23 J. C. Niemeyer

We present results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the spherically symmetric critical solution with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , E. W. Hirschmann , S. L. Liebling , F. Pretorius

Continuously self-similar (CSS) solutions for the gravitational collapse of a spherically symmetric perfect fluid, with the equation of state p=kappa rho, with 0<kappa<1 a constant, are constructed numerically and their linear…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Gundlach

A model of nonlinear electrodynamics coupled with the gravitational field is studied. We obtain the asymptotic black hole solutions at $r\rightarrow 0$ and $r\rightarrow \infty$. The asymptotic at $r\rightarrow 0$ is shown, and we find…

General Relativity and Quantum Cosmology · Physics 2016-08-16 S. I. Kruglov
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