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• W2072551729 abstract "We investigate the general relativistic collapse of spherically symmetric, massless spin-$frac{1}{2}$ fields at the threshold of black hole formation. A spherically symmetric system is constructed from two spin-$frac{1}{2}$ fields by forming a spin singlet with no net spin-angular momentum. We study the system numerically and find strong evidence for a type II critical solution at the threshold between dispersal and black hole formation, with an associated mass scaling exponent $ensuremath{gamma}ensuremath{sim}0.26.$ Although the critical solution is characterized by a continuously self-similar (CSS) geometry, the matter fields exhibit discrete self-similarity with an echoing exponent $ensuremath{Delta}ensuremath{sim}1.34.$ We then adopt a CSS ansatz and reduce the equations of motion to a set of ODEs. We find a solution of the ODEs that is analytic throughout the solution domain, and show that it corresponds to the critical solution found via dynamical evolutions." @default.
• W2072551729 created "2016-06-24" @default.
• W2072551729 creator A5034886733 @default.
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• W2072551729 date "2003-08-25" @default.
• W2072551729 modified "2023-09-26" @default.
• W2072551729 title "Critical phenomena in the Einstein-massless-Dirac system" @default.
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• W2072551729 doi "https://doi.org/10.1103/physrevd.68.044020" @default.
• W2072551729 hasPublicationYear "2003" @default.
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