Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory

Abstract

This study aims to investigate the impact of dark energy in cosmological scenarios by exploiting $f(\bar{R},\bar{T})$ gravity within the framework of a {\it non-standard} theory, called {\it {\bf K-}essence} theory, where $\bar{R}$ represents the Ricci scalar and $\bar{T}$ 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 $({\bar{G}}_{\mu \nu })$ associated with the {\bf K-}essence. This metric is distinct from the usual gravitational metric $(g_{\mu \nu })$. It has been shown that under a flat FLRW background gravitational metric, the modified field equations and the Friedmann equations of the $f(\bar{R},\bar{T})$ gravity are distinct from the usual ones. In order to get the equation of state (EOS) parameter $\omega$, we have solved the Friedmann equations by taking into account the function $f(\bar{R},\bar{T})\equiv f(\bar{R})+\lambda \bar{T}$, where $\lambda$ represents a parameter within the model. We have found a relationship between $\omega$ and time for different kinds of $f(\bar{R})$ by treating the kinetic energy of the {\bf K-}essence scalar field (${\dot{\varphi }}^2$) as the dark energy density which fluctuates with time. Surprisingly, this result meets the condition of the restriction on ${\dot{\varphi }}^2$. 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.

12 pages, 20 figures, 4 tables, Accepted from IJMPD

References in corpus (32)

• Dynamics of dark energy
• f(R,T) gravity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Extra force in $f(R)$ modified theories of gravity
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• f(R,L_m) gravity
• Effective Field Theory for Inflation
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Limit to General Relativity in f(R) theories of gravity
• Dark energy and dark matter as curvature effects
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Theoretical Models of Dark Energy
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• No-go theorem for k-essence dark energy
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Energy Conditions and Supernovae Observations
• Attractor scenarios and superluminal signals in k-essence cosmology
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Early dark energy in $k$-essence
• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• Dynamics of a parametrized dark energy model in $f(R,T)$ gravity
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models
• The Hawking temperature in the context of dark energy for Kerr-Newman and Kerr-Newman-AdS backgrounds
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow

Cited by in corpus (6)

• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Form Invariance of Raychaudhuri equation in the presence of Inflaton-type fields
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework