Gravitational waves and stability of cosmological solutions in the theory with anomaly-induced corrections

Understand

The dynamics of metric perturbations is explored in the gravity theory with anomaly-induced quantum corrections.

• Our first purpose is to derive the equation for gravitational waves in this theory on the general homogeneous and isotropic background, and then verify the stability of such background with respect to metric perturbations.
• The problem under consideration has several interesting applications.
• Our first purpose is to explore the stability of the classical cosmological solutions in the theory with quantum effects taken into account.