Scalar normal modes of higher dimensional gravitating kinks
Massimo Giovannini (Institute of Theoretical Physics, University of, Lausanne)
TL;DR
This paper derives the scalar normal modes of higher-dimensional gravitating kinks, analyzing their spectrum and implications for short-distance modifications to Newtonian gravity.
Contribution
It provides a detailed derivation of scalar normal modes in higher-dimensional gravitating kink backgrounds, including their spectrum and physical implications.
Findings
Normal modes spectrum analyzed and characterized.
Implications for short-distance Newton law corrections discussed.
Effective Lagrangian diagonalized for scalar fluctuations.
Abstract
The scalar normal modes of higher dimensional gravitating kink solutions are derived. By perturbing to second order the gravity and matter parts of the action in the background of a five-dimensional kink, the effective Lagrangian of the scalar fluctuations is derived and diagonalized in terms of a single degree of freedom which invariant under infinitesimal diffeomorphisms. The spectrum of the normal modes is discussed and applied to the analysis of short distance corrections to Newton law.
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