Linear Stability Analysis of Dynamical Quadratic Gravity
General Relativity and Quantum Cosmology
2014-03-19 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We perform a linear stability analysis of dynamical, quadratic gravity in the high-frequency, geometric optics approximation. This analysis is based on a study of gravitational and scalar modes propagating on spherically-symmetric and axially-symmetric, vacuum solutions of the theory. We find dispersion relations that do no lead to exponential growth of the propagating modes, suggesting the theory is linearly stable on these backgrounds. The modes are found to propagate at subluminal and superluminal speeds, depending on the propagating modes' direction relative to the background geometry, just as in dynamical Chern-Simons gravity.
Cite
@article{arxiv.1310.6392,
title = {Linear Stability Analysis of Dynamical Quadratic Gravity},
author = {Dimitry Ayzenberg and Kent Yagi and Nicolas Yunes},
journal= {arXiv preprint arXiv:1310.6392},
year = {2014}
}
Comments
9 pages, no figures, updated to published version