Perturbed self-similar massless scalar field in the space-times with circular symmetry in (2+1)-gravity

摘要

We present in this work the study of the linear perturbations of the (2 + l)-dimensional circularly symmetric solution, obtained in a previous work, with kinematic self-similarity of the second kind. We have obtained an exact solution for the perturbation equations and the possible perturbation modes. We have shown that the background solution is a stable solution.