2021/07/31 by Avik De, Simran Arora, Uday Chand De +1
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Computer graphics (images) #Computer science #Cosmology and Gravitation Theories #Mathematical physics #Physics #Scalable Vector Graphics #Theoretical physics #World Wide Web #gr-qc
paper · pdf · doi:10.1016/j.rinp.2021.105053
published as Results in Physics 32 (2022) 105053
openalex created_date 2021/08/02 · arxiv created 2021/08/12 · openalex publication_date 2021/12/03 · arxiv updated 2021/12/09 · openalex updated_date 2026/08/05
The motive in this article is twofold. First we investigate the geometrical structures of a pseudo-symmetric spacetime (PS)4 with a timelike vector under the condition of conformal flatness. We classify it into two possible types: constant Ricci scalar and closed velocity vector. Then we further study (PS)4 type spacetime solutions of F(R)-gravity theory and demonstrate that the pressure and energy density of the effective cosmological perfect fluid separately possess certain typical relations with the geometry and the gravity sector of the theory. Based on this result, some observational and cosmological analyzes are done for the different F(R)-gravity models and the energy conditions are investigated accordingly, supporting the accelerated expansion of the universe.