2025/10/20 by Antonio Pasqua, Pasqua, Antonio
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2510.17488
openalex publication_date 2025/10/20 · openalex created_date 2025/10/22 · openalex updated_date 2026/07/28
In this work, we study a Dark Energy (DE) energy density model which depends on the Hubble parameter squared H2 and on its first, second and third time derivatives H, H and \dddotH. Considering a scale factor a with a power-law dependence on the time (with n indicating the power-law index), we obtain some important cosmological quantities as function of the , like the energy densities of Matter ρm and of DE ρD, the fractional energy densities of DM Ωm and of DE ΩD, the Hubble parameter squared H2, the deceleration parameter q, the evolutionary form of the fractional energy density of DE Ω'D, the pressure of DE pD and the Equation of State (EoS) parameter of DE ωD, for both non interacting and interacting cases. For the interacting case, we consider 9 different interacting term Q, all functions of the Hubble parameter H and/or of ρm and ρD. Finally, we establish a correspondence between the DE model we study and some scalar field theories, including tachyon, k-essence, quintessence, Yang-Mills (YM) and Nonlinear Electrodynamics (NLED) fields.