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A massless scalar field minimally coupled to the gravitational field in a simplified spherical symmetry is discussed. It is shown that, in this case, the solution found by Roberts, describing a scalar field collapse, is in fact the most…

General Relativity and Quantum Cosmology · Physics 2009-10-28 H. P. de Oliveira , E. S. Cheb-Terrab , DFT-UERJ , Brazil

We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) $\sigma$-models. As the dimensionless coupling constant decreases, the critical solution changes from discretely…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Christiane Lechner , Jonathan Thornburg , Sascha Husa , Peter C. Aichelburg

We give an exact spherically symmetric solution for the Einstein-scalar field system. The solution may be interpreted as an inhomogeneous dynamical scalar field cosmology. The spacetime has a timelike conformal Killing vector field and is…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Viqar Husain , Erik A. Martinez , Dario Nunez

We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Joanna Jałmużna , Carsten Gundlach

Phase transition in spherically symmetric collapse of a massless scalar field is studied in 4-d Einstein gravity. A class of exact solutions that show the evolution of a constant incoming energy flux turned on at a point in the past null…

High Energy Physics - Theory · Physics 2007-05-23 Youngjai Kiem

The aim of the present letter is to explain the `critical behaviour' observed in numerical studies of spherically symmetric gravitational collaps of a perfect fluid. A simple expression results for the critical index $\gamma$ of the black…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Dieter Maison

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 explore a collapsing cosmology driven by a scalar field which is minimally coupled to gravity in a spatially at and spherically symmetric, isotropic and homogeneous space-time, with a variable timescale that avoids the final singularity.…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Jaime M. Hernandez , Mauricio Bellini , Claudia Moreno

We present results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field. Two distinct critical solutions are observed at the threshold of black hole formation. In one case the critical solution…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Matthew W. Choptuik , Tadeusz Chmaj , Piotr Bizon

We write the Hamiltonian for a gravitational spherically symmetric scalar field collapse with massive scalar field source, and we discuss the application of Wheeler De Witt equation as well as the appearence of time in this context. Using…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , F. C. Khanna

In numerically constructing a spacetime that has an approximate timelike Killing vector, it is useful to choose spacetime coordinates adapted to the symmetry, so that the metric and matter variables vary only slowly with time in these…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Garfinkle , C. 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

We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is…

General Relativity and Quantum Cosmology · Physics 2013-10-07 Eoin Condron , Brien C. Nolan

We present new analytical self-similar solutions describing a collapse of a massless scalar field in scalar-tensor theories. The solutions exhibit a type of critical behavior. The black hole mass for the near critical evolution is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stoytcho S. Yazadjiev

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 investigate the general relativistic collapse of spherically symmetric, massless spin-1/2 fields at the threshold of black hole formation. A spherically symmetric system is constructed from two spin-1/2 fields by forming a spin singlet…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jason F. Ventrella , Matthew W. Choptuik

In this paper, we discuss gravitational collapse of spherically symmetric spacetimes. We derive a general formalism by taking two arbitrary spherically symmetric spacetimes with $g_{00}=1$. Israel's junction conditions are used to develop…

General Relativity and Quantum Cosmology · Physics 2009-07-22 M. Sharif , Khadija Iqbal

We present a thermodynamic analysis of spherically symmetric gravitational collapse. Using the Hayward-Kodama formalism, we treat a collapsing sphere as a thermodynamic system and express the surface gravity $\kappa_{hk}$ in terms of the…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Soumya Chakrabarti

We present an exact collapsing solution to 2+1 gravity with a negative cosmological constant minimally coupled to a massless scalar field, which exhibits physical properties making it a candidate critical solution. We discuss its global…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gerard Clement , Alessandro Fabbri

We investigate the threshold of gravitational collapse with angular momentum, under the assumption that the critical solution is spherical and self-similar and has two growing modes, namely one spherical mode and one axial dipole mode…

General Relativity and Quantum Cosmology · Physics 2009-11-07 C. Gundlach
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