TY - JOUR

T1 - Critical behavior in the gravitational collapse of a scalar field with angular momentum in spherical symmetry

AU - Olabarrieta, Ignacio

AU - Ventrella, Jason F.

AU - Choptuik, Matthew W.

AU - Unruh, William G.

PY - 2007/12/17

Y1 - 2007/12/17

N2 - 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, Δl, decreases as l increases in such a way that the critical solution appears to become periodic in the limit. The mass-scaling exponent, γl, also decreases with l.

AB - 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, Δl, decreases as l increases in such a way that the critical solution appears to become periodic in the limit. The mass-scaling exponent, γl, also decreases with l.

UR - http://www.scopus.com/inward/record.url?scp=37349001629&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.76.124014

DO - 10.1103/PhysRevD.76.124014

M3 - Article

AN - SCOPUS:37349001629

SN - 1550-7998

VL - 76

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 12

M1 - 124014

ER -