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Kink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity

Anzhong Wang·Yumei Wu
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Abstract

The kink stability of self-similar solutions of a massless scalar field with circular symmetry in 2+1 gravity is studied, and found that such solutions are unstable against the kink perturbations along the sonic line (self-similar horizon). However, when perturbations outside the sonic line are considered, and taking the ones along the sonic line as their boundary conditions, we find that non-trivial perturbations do not exist. In other words, the consideration of perturbations outside the sonic line limits the unstable mode of the perturbations found along the sonic line. As a result, the critical solution for the scalar collapse remains critical even after the kink perturbations are taken into account.

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Anzhong Wang, Yumei Wu. 2005-06-01. Kink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity. https://doi.org/10.1007/s10714-007-0413-7

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