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We study a simple system of two hyperbolic semi-linear equations, inspired by the Einstein equations. The system, which was introduced in gr-qc/0612136, is a model for singularity formation inside black holes. We show for a particular case…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan Gorbonos , Gershon Wolansky

We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod , Tsvi Piran

(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

This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Yassine Sekhmani , Dhruba Jyoti Gogoi , Ratbay Myrzakulov , Javlon Rayimbaev

A simple classical consideration of black hole formation and evaporation times focusing solely on the frame of an observer at infinity demonstrates that an infall cutoff outside the event horizon of a black hole must be imposed in order for…

General Relativity and Quantum Cosmology · Physics 2015-04-13 Borun D. Chowdhury , Lawrence M. Krauss

We demonstrate the existence of $P-V$ criticality of the topological Ho\v{r}ava-Lifshitz(HL) black holes with a spherical horizon $(k=1)$ in the extended phase space. With the electric charge, we find that the critical behaviors of the HL…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Meng-Sen Ma , Rui-Hong Wang

This study focuses on precisely calculating analytical critical points for rotating regular AdS black holes, examining scenarios with and without external dark field contributions. Importantly, it represents the first attempt to compute…

High Energy Physics - Theory · Physics 2024-08-19 Hayat. Laassiri , Ahmed. Daassou , Rachid. Benbrik

The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black hole formation is used to estimate the initial mass function of primordial black holes (PBHs). It is argued that the universal scaling…

Astrophysics · Physics 2008-11-26 J. C. Niemeyer , K. Jedamzik

We investigate the effects of pair creation on the internal geometry of a black hole, which forms during the gravitational collapse of a charged massless scalar field. Classically, strong central Schwarzschild-like singularity forms, and a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Evgeny Sorkin , Tsvi Piran

The critical behavior and phase transition in the 2+1 dimensional Ba\~nados, Teitelboim, and Zanelli (BTZ) black holes are discussed. By calculating the equilibrium thermodynamic fluctuations in the microcanonical ensemble, canonical…

General Relativity and Quantum Cosmology · Physics 2019-08-17 Rong-Gen Cai , Zhi-Jiang Lu , Yuan-Zhong Zhang

In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. At first, we consider the cosmological constant and nonlinear…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Z. Dayyani , A. Sheykhi , M. H. Dehghani , S. Hajkhalili

We study the critical gravitational collapse of a massless scalar field non-minimally coupled to gravity, using a quadratic coupling function with a strength parameter $\xi$. We concentrate on critical phenomena of type II, and determine…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Erik Jiménez-Vázquez , Miguel Alcubierre

We investigate numerically the critical behaviour which occurs in the collapse of both spherically symmetric and asymmetric scalar field bubbles with full general relativity. We use a minimally coupled scalar field subject to a "double…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Katy Clough , Eugene A. Lim

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

A self-interacting dark matter halo can experience gravothermal collapse, resulting in a central core with an ultrahigh density. It can further contract and collapse into a black hole, a mechanism proposed to explain the origin of…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-24 Wei-Xiang Feng , Hai-Bo Yu , Yi-Ming Zhong

We examine the properties of nearly extremal black holes produced by gravitational collapse. It is shown that an observer who crosses the black hole horizon at late times rapidly encounters a singularity.

General Relativity and Quantum Cosmology · Physics 2015-05-28 David Garfinkle

This thesis deals with critical collapse of a massless scalar field coupled to Einstein's equations in spherical symmetry. The system is numerically investigated from both global and local points of view using a characteristic slicing and…

General Relativity and Quantum Cosmology · Physics 2007-08-15 Michael Pürrer

SYK model is a quantum mechanical model of fermions which is solvable at strong coupling and plays an important role as perhaps the simplest holographic model of quantum gravity and black holes. The present work considers a deformed SYK…

High Energy Physics - Theory · Physics 2020-01-08 Avinash Dhar , Adwait Gaikwad , Lata Kh Joshi , Gautam Mandal , Spenta R. Wadia

We present a numerical investigation of the gravitational collapse of horizon-size density fluctuations to primordial black holes (PBHs) during the radiation-dominated phase of the Early Universe. The collapse dynamics of three different…

Astrophysics · Physics 2008-11-26 J. C. Niemeyer , K. Jedamzik

We study the collapse of a self-gravitating and radiating shell. Matter constituting the shell is quantized and the construction is viewed as a semiclassical model of possible black hole formation. It is shown that the shell internal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. L. Alberghi , R. Casadio , G. P. Vacca , G. Venturi