Stability in higher-derivative matter fields theories

Abstract

We discuss possible instabilities in higher-derivative matter fields theories. These theories has two free parameters ${\beta }_1$ and ${\beta }_4$. By using dynamical system approach we explicitly demonstrate that for stability of Minkowski space in expanding Universe it is need condition ${\beta }_4<0$. By using quantum field theory approach we also find additional restriction for parameters ${\beta }_1>-\frac{1}{3}{\beta }_4$ which is need to avoid tachyon-like instability.

References in corpus (6)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Brane worlds in gravity with auxiliary fields
• Cosmological scenarios in modified gravity with non-dynamical fields
• First-order framework for flat brane with auxiliary fields