2022/06/28 by Arijit Panda, Panda, Arijit, Ray, Saibal +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.2206.14808
openalex publication_date 2022/06/28 · openalex created_date 2022/07/03 · openalex updated_date 2026/07/28
This study aims to investigate the impact of dark energy in cosmological scenarios by exploiting f(R,T) gravity within the framework of a \it non-standard theory, called \it \bf K-essence theory, where R represents the Ricci scalar and T denotes the trace of the energy-momentum tensor associated with the \bf K-essence geometry. The Dirac-Born-Infeld (DBI) non-standard Lagrangian has been employed to generate the emergent gravity metric (Gμν) associated with the \bf K-essence. This metric is distinct from the usual gravitational metric (gμν). It has been shown that under a flat FLRW background gravitational metric, the modified field equations and the Friedmann equations of the f(R,T) gravity are distinct from the usual ones. In order to get the equation of state (EOS) parameter ω, we have solved the Friedmann equations by taking into account the function f(R,T)≡ f(R)+λT, where λ represents a parameter within the model. We have found a relationship between ω and time for different kinds of f(R) by treating the kinetic energy of the \bf K-essence scalar field (ϕ2) as the dark energy density which fluctuates with time. Surprisingly, this result meets the condition of the restriction on ϕ2. By presenting graphical representations of the EOS parameter with time, we show that our model is consistent with the data of SNIa+BAO+H(z) within a certain temporal interval.