Aneta Wojnar

Invariant solutions and Noether symmetries in Hybrid Gravity

Symmetries play an important role in physics and, in particular, the Noether symmetry is a useful tool to select models motivated at a fundamental level, and it is useful in finding exact solutions for a specific Lagrangian. In this work, we consider the application of point symmetries in the recently proposed hybrid metric-Palatini gravitational theory in order to select the f(R) function and to find analytical solutions of the field equations and of the Wheeler-DeWitt (WDW) equation in quantum cosmology.