Some exact cosmological solutions in Yano–Schrödinger gravity

This paper is devoted to investigate some exact cosmological solutions in the recently proposed Yano–Schrödinger gravity [L. Csillag et al., Schrödinger connections: From mathematical foundations towards Yano–Schrödinger cosmology, Class. Quantum Grav. 41 (2024) 235005]. In particular, we explore the possibility of obtaining bouncing solutions by considering different equations of state parameters. A detailed graphical analysis is provided for analyzing the obtained bouncing solutions. The behavior of Hubble function from past to present epoch shows the possibility of bounce occurring during the transition of the Hubble parameter from negative to positive at certain times. This signifies a shift in the universe’s dynamics from a contracting phase, where the scale factor decreases, to an expanding phase, where the scale factor increases. The profiles for energy density are seen to be negative for some time in all the discussed cases. Similarly, the evolution of pressure is also showing some negative regions associated with the existence of dark energy. Thus, the bouncing Yano–Schrödinger gravity predicts the possibility of bouncing universe, in particular, supporting the so-called accelerated expansion of the universe.