Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes

Details Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes

2007-04-27

arxiv.org/abs/0704.3648v1

Int.J.Mod.Phys.A22:4695-4708,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, accepted for publication Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X07037214

In this paper, we investigate the linear perturbations of the spherically symmetric spacetimes with kinematic self-similarity of the second kind. The massless scalar field equations are solved which yield the background and an exact solutions for the perturbed equations. We discuss the boundary conditions of the resulting perturbed solutions. The possible perturbation modes turn out to be stable as well as unstable. The analysis leads to the conclusion that there does not exist any critical solution.

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