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We consider line elements of the form $-2G\,du\,(dx+B\,du) + R^2(...)$, where $(...)$ does not contain $dx$. Surfaces of constant $u$ are then null surfaces, and their affinely parameterised generators have tangent vector…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Carsten Gundlach , Laetitia Martel

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 examine spherical gravitational collapse of a matter model with vanishing radial pressure and non-zero tangential pressure. It is seen analytically that the collapsing cloud either forms a black hole or disperses depending on values of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ashutosh Mahajan , Pankaj S. Joshi

We show that any homogeneous initial data set with $\Lambda<0$ on a product 3-manifold of the orthogonal form $(F\times \mathbb S^1,a_0^2dz^2+b_0^2\sigma^2,c_0dz^2+d_0\sigma)$, where $(F,\sigma)$ is a closed 2-surface of constant curvature…

General Relativity and Quantum Cosmology · Physics 2023-07-05 David Fajman , Maximilian Kraft

We perform numerical simulations of the critical gravitational collapse of a spherically symmetric scalar field in 6 dimensions. The critical solution has discrete self-similarity. We find the critical exponent \gamma and the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Garfinkle , Curt Cutler , G. Comer Duncan

Spherical vacuum and scalar collapse for the Starobinsky R^2 model is simulated. Obtained by considering the quantum-gravitational effects, this model would admit some cases of singularity-free cosmological spacetimes. It is found, however,…

General Relativity and Quantum Cosmology · Physics 2016-09-01 Jun-Qi Guo , Pankaj S. Joshi

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

We study the inner-structure of a charged black-hole which is formed from the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

Between the linear and nonlinear regimes, we identify a universal transition range centered on a characteristic halo mass $m_h^*\propto t$, within which gravitational dynamics self-organize the matter field toward an effective spectral…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-02 Zhijie Xu

We discuss the gravitational collapse of a spherically symmetric massive core of a star in which the fluid component is interacting with a growing vacuum energy density. The influence of the variable vacuum in the collapsing core is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. Campos , J. A. S. Lima

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 report on a numerical study of the spherically symmetric collapse of a self-gravitating massless scalar field. Earlier results of Choptuik(1992, 1994) are confirmed. The field either disperses to infinity or collapses to a black hole,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rufus S. Hamade , John M. Stewart

We investigated the critical dynamical scalarization and descalarization of black holes within the framework of the Einstein-Maxwell-scalar theory featuring higher-order coupling functions. Both the critical scalarization and…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Jia-Yan Jiang , Qian Chen , Yunqi Liu , Yu Tian , Wei Xiong , Cheng-Yong Zhang , Bin Wang

We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Ye Sle Cha , Marcus A. Khuri

We combine analytical and numerical techniques to study the collapse of conformally coupled massless scalar fields in semiclassical 2D dilaton gravity, with emphasis on solutions just below criticality when a black hole almost forms. We…

High Energy Physics - Theory · Physics 2009-10-30 Sukanta Bose , Leonard Parker , Yoav Peleg

Quantum gravity is expected to remove the classical singularity that arises as the end-state of gravitational collapse. To investigate this, we work with a toy model of a collapsing homogeneous scalar field. We show that non-perturbative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald , Rituparno Goswami , Roy Maartens , Parampreet Singh

Critical collapse of a spherically symmetric domain wall is investigated. The domain wall is made of a minimally coupled scalar field with a double well potential. We consider a sequence of the initial data which describe a momentarily…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Taishi Ikeda , Chul-Moon Yoo

We study the phase transition and critical phenomenon of charged black holes in Einstein-Maxwell-scalar (EMs) theory. Through comprehensive analysis of thermodynamic behaviors manifested in P-V diagrams, G(T,P) surfaces, and C_P curves, we…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zeming Zhuang , Kun Meng , Hongsheng Zhang

We conjecture (analytically) and demonstrate (numerically) the existence of a fine-structure above the power-law behavior of the mass of black-holes that form in gravitational collapse of spherical massless scalar field. The fine-structure…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Shahar Hod , Tsvi Piran

The discovery of quasars at increasingly large cosmological redshifts may favor "direct collapse" as the most promising evolutionary route to the formation of supermassive black holes. In this scenario, supermassive black holes form when…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Satya P. Butler , Alicia R. Lima , Thomas W. Baumgarte , Stuart L. Shapiro