Perturbations and Critical Behavior in the Self-Similar Gravitational Collapse of a Massless Scalar Field

Details Perturbations and Critical Behavior in the Self-Similar Gravitational Collapse of a Massless Scalar Field Perturbations and Critical Behavior in the Self-Similar Gravitational Collapse of a Massless Scalar Field

1997-04-15

arxiv.org/abs/gr-qc/9704040v1

Phys.Rev.D56:6433-6438,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, RevTeX 3.1, 1 figure

Scientific paper

10.1103/PhysRevD.56.6433

This paper studies the perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (Roberts solution). The perturbation equations are derived and solved exactly. The perturbation spectrum is found to be not discrete, but occupying continuous region of the complex plane. The renormalization group calculation gives the value of the mass-scaling exponent equal to 1.

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