Critical Behavior in the Gravitational Collapse of a Scalar Field with Angular Momentum in Spherical Symmetry

Details Critical Behavior in the Gravitational Collapse of a Scalar Field with Angular Momentum in Spherical Symmetry Critical Behavior in the Gravitational Collapse of a Scalar Field with Angular Momentum in Spherical Symmetry

2007-08-03

arxiv.org/abs/0708.0513v1

Phys.Rev.D76:124014,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 8 figures

Scientific paper

10.1103/PhysRevD.76.124014

We study the critical collapse of a massless scalar field with angular momentum in spherical symmetry. In order to mimic the effects of angular momentum we perform a sum of the stress-energy tensors for all the scalar fields with the same eigenvalue, l, of the angular momentum operator and calculate the equations of motion for the radial part of these scalar fields. We have found that the critical solutions for different values of l are discretely self-similar (as in the original l=0 case). The value of the discrete, self-similar period, Delta_l, decreases as l increases in such a way that the critical solution appears to become periodic in the limit. The mass scaling exponent, gamma_l, also decreases with l.

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