Geometric symmetries of the physical space of the Einstein–Skyrme model and quantum cosmology: A Noether symmetry analysis

Abstract

In the background of homogeneous Kantowski–Sachs (KS) space-time geometry, the anisotropic Skyrme fluid with zero heat flux has been considered in the framework of Einstein gravity. The homothetic group of the physical space is determined and the generation of the Noether point symmetry is discussed. Further, the Wheeler–DeWitt equation is constructed for studying quantum cosmology of the system and the wave function of the Universe is evaluated using the conserved Noether charge. The present model shows a bouncing nature of evolution that is a singularity free model.