117 research outputs found
Spherical Self-Similar Solutions in Einstein-Multi-Scalar Gravity
We consider a general non-linear sigma model coupled to Einstein gravity and
show that in spherical symmetry and for a simple realization of
self-similarity, the spacetime can be completely determined. We also examine
some more specific matter models and discuss their relation to critical
collapse.Comment: 11 pages, 1 figur
Critical Collapse of a Complex Scalar Field with Angular Momentum
We report a new critical solution found at the threshold of axisymmetric
gravitational collapse of a complex scalar field with angular momentum. To
carry angular momentum the scalar field cannot be axisymmetric; however, its
azimuthal dependence is defined so that the resulting stress energy tensor and
spacetime metric are axisymmetric. The critical solution found is
non-spherical, discretely self-similar with an echoing exponent of 0.42 (+-
4%), and exhibits a scaling exponent of 0.11 (+- 10%) in near critical
collapse. Our simulations suggest that the solution is universal (within the
imposed symmetry class), modulo a family-dependent constant phase in the
complex plane.Comment: 4 pages, 4 figure
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