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Related papers: Critical collapse for the Starobinsky $R^2$ model

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Schwarzschild black holes are expected to emerge as the end states of the classical gravitational collapse from non-singular configurations. After integrable curvature singularities appear, the interior geometry can be modelled to exhibit a…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Roberto Casadio , Andrea Giusti , Alexander Kamenshchik , Jorge Ovalle

We investigate the dynamics of black hole critical collapse in the limit of a large number of spacetime dimensions, $D$. In particular, we study the spherical gravitational collapse of a massless, scale-invariant scalar field with…

High Energy Physics - Theory · Physics 2025-11-10 Craig R. Clark , Guilherme L. Pimentel

We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Sinya Aoki , Jorge Ovalle

We investigate the effects of higher order curvature corrections to Einstein's Gravity on the critical phenomenon near the black hole threshold, namely the Choptuik phenomenon. We simulate numerically a five dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Sveta Golod , Tsvi Piran

In this work, we have investigated a novel aspect of black hole (BH) formation during the collapse of a self-gravitating configuration. The exact solution of the Einstein field equations is obtained in a model-independent way by considering…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Annu Jaiswal , Rajesh Kumar , Sudhir Kumar Srivastava , Megandhren Govender , Shibesh Kumar Jas Pacif

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 present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. By choosing a convenient coherent state, this formalism taps into…

High Energy Physics - Theory · Physics 2022-03-09 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

We investigate the spherically-symmetric gravitational collapse of a massless scalar field in the framework of a type-II minimally modified gravity theory called VCDM. This theory propagates only two local physical degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Atabak Fathe Jalali , Paul Martens , Shinji Mukohyama

We solve the coupled Einstein-Vlasov system in spherical symmetry using direct numerical integration of the Vlasov equation in phase space. Focusing on the case of massless particles we study critical phenomena in the model, finding strong…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Arman Akbarian , Matthew W. Choptuik

In the gravitational collapse of matter beyond spherical symmetry, gravitational waves are necessarily present. On the other hand, gravitational waves can collapse to a black hole even without matter. One might therefore wonder whether the…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

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

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

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

In general relativity black holes can be formed from regular initial data that do not contain a black hole already. The space of regular initial data for general relativity therefore splits naturally into two halves: data that form a black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carsten Gundlach

We study gravitational collapse of a spherically symmetric scalar field in Einstein-aether theory (general relativity coupled to a dynamical unit timelike vector field). The initial value formulation is developed, and numerical simulations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Garfinkle , Christopher Eling , Ted Jacobson

Collapsing solutions in $f(R)$ gravity are restricted due to junction conditions that demand continuity of the Ricci scalar and its normal derivative across the time-like collapsing hypersurface. These are obtained via the method of…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Sandip Chowdhury , Kunal Pal , Kuntal Pal , Tapobrata Sarkar

In this paper, we explore the interior dynamics of neutral and charged black holes in $f(R)$ gravity. We transform $f(R)$ gravity from the Jordan frame into the Einstein frame and simulate scalar collapses in flat, Schwarzschild, and…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Jun-Qi Guo , Pankaj S. Joshi

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

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. This formalism utilizes well-established techniques used for classical…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou