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Through an illuminating thought experiment we demonstrate that the nonsingular "continued collapse" picture of a black hole is the only consistent and physical one. We provide a class exact solutions on the boundary of the space of physical…

General Relativity and Quantum Cosmology · Physics 2014-02-10 Clifford E Chafin

We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure,…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Eric W. Hirschmann , Anzhong Wang , Yumei Wu

We study the $P-V/r_{+}$ criticality and phase transition of quantum-corrected black hole in asymptotic safety (AS) gravity in the extended phase space. For the black hole, the cosmological constant is dependent on the momentum cutoff or…

High Energy Physics - Theory · Physics 2015-06-19 Meng-Sen Ma , Ya-Qin Ma

We study spherical scalar collapse toward a black hole formation and examine the asymptotic dynamics near the central singularity of the formed black hole. It is found that, in the vicinity of the singularity, due to the strong backreaction…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Jun-Qi Guo , Pankaj S. Joshi , Jose T. Galvez Ghersi

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Daniel Terno

(Abridged) A solution is obtained for the interior structure of an uncharged rotating black hole that accretes a collisionless fluid. The solution is conformally stationary, axisymmetric, and conformally separable, possessing a conformal…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Andrew J. S. Hamilton

We study the occurrence of critical phenomena in four - dimensional, rotating and charged black holes, derive the critical exponents and show that they fulfill the scaling laws. Correlation functions critical exponents and Renormalization…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. O. Lousto

We study black hole formation in a model of two dimensional dilaton gravity and 24 massless scalar fields with a boundary. We find the most general boundary condition consistent with perfect reflection of matter and the constraints. We show…

High Energy Physics - Theory · Physics 2010-11-01 Sumit R. Das , Sudipta Mukherji

A scalar field non-minimally coupled to certain geometric [or matter] invariants which are sourced by [electro]vacuum black holes (BHs) may spontaneously grow around the latter, due to a tachyonic instability. This process is expected to…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Yves Brihaye , Carlos Herdeiro , Eugen Radu

In this paper, we study the thermodynamic features of a rotating black hole surrounded by perfect fluid dark matter. We analyze the critical behavior of the black hole by considering the known relationship between pressure and cosmological…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Seyed Hossein Hendi , Azadeh Nemati , Kai Lin , Mubasher Jamil

This paper studies the non-spherical perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (the Roberts solution). The exact analysis of the perturbation equations reveals…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Andrei V. Frolov

We adopt an effective action inspired by asymptotically safe gravity, in which the effective gravitational constant is parametrized as $G(\epsilon) = G_{N} /[1 + \tilde{\omega} (G_{N}^{2} \epsilon)^{\alpha}]$, where $G_{N}$ and $\epsilon$…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomohiro Harada , Chiang-Mei Chen , Rituparna Mandal

(accepted for publication in the Ap.J.) I present a general classification of self-similar solutions to the equations of gravitational hydrodynamics that contain many previous results as special cases. For cold flows with spherical…

Astrophysics · Physics 2009-10-22 Ue-Li Pen

Starting from the Oppenheimer-Snyder model, we know how in classical general relativity the gravitational collapse of matter form a black hole with a central spacetime singularity. It is widely believed that the singularity must be removed…

General Relativity and Quantum Cosmology · Physics 2015-02-27 Yiyang Zhang , Yiwei Zhu , Leonardo Modesto , Cosimo Bambi

We present an analytical solution of a massless scalar field collapsing in a three dimensional space-time with a negative cosmological constant, i.e. asymptotically AdS_3. The Einstein and scalar field equations are formulated using double…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Rudolf Baier , Stefan Stricker , Olli Taanila

Black hole horizons interact with external fields when matter-energy falls through them. Such non-stationary black hole horizons can be described using viscous fluid equations. This work attempts to describe this process using effective…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Swastik Bhattacharya , S. Shankaranarayanan

We show that the method used in the Schwarzschild black hole for finding the elementary solution of the electrostatic equation in closed form cannot extend in higher dimensions. By contrast, we prove the existence of static, spherically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bernard Linet

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and an U(1) electromagnetic field. Solving the coupled Einstein-Maxwell-scalar system we find exact hairy charged…

General Relativity and Quantum Cosmology · Physics 2015-06-22 P. A. Gonzalez , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vasquez

This paper studies gravitational collapse of a complex scalar field at the threshold for black hole formation, assuming that the collapse is spherically symmetric and continuously self-similar. A new solution of the coupled Einstein-scalar…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Eric W. Hirschmann , Douglas M. Eardley

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang
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