We explore equilibrium solutions of spherically symmetric boson stars in the Palatini formulation $f(\mathcal{R})$ gravity. account for modifications introduced gravitational sector by using a recently established correspondence between modified gravity with scalar matter and general relativity matter. focus on quadratic theory $f(\mathcal{R})=R+\xi R^2$ compare its those found relativity, expl...

In this paper, we analyze the modified $f(\mathcal{R})$ gravity models in Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) background. The actions of bouncing cosmology are studied under consideration different viable theory that can resolve difficulty singularity standard Big-Bang cosmology. Under theory, cosmological constraints plotted provisions cosmic-time, then investigated bounce circu...