2014/03/12 by Surajit Chattopadhyay, Chattopadhyay, S., A. E. Ashurov +9
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1403.2815
openalex publication_date 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the main cosmological properties of the classical Friedmann equations in the case of homogeneous and isotropic Friedmann-Robertson-Walker Universe and we also generalized the expression of the Friedmann equation in the case of Loop Quantum Cosmology (LQC). Considering the M35-model, we found the solutions of the equations considered for two particular cases, i.e. Q=0 (i.e., the de Sitter solution) and Q>0. Moreover, we considered and studied two exact cosmological solutions of the M35-model, in particular the power-law and the exponential ones. Futhermore, we also considered a third more complicated case and we derived the solution for an arbitrary function of the time f(t). A scalar field description of the model is presented by constructing its self-interacting potential.