Cosmological models with squared trace in modified gravity

Abstract

In this work we present a few simple cosmological models under the modified theory of gravity in the particular form of $f(R,\mathcal{T})=R+2f(\mathcal{T})$, where $R$ is the Ricci Scalar and $\mathcal{T}$ is the trace of the energy-momentum tensor. Two special cosmological models are studied with (i) hyperbolic scale factor and (ii) specific form of the Hubble parameter. The models are observed to predict relevant cosmological parameters closer to the observational values. Both the models reduce to overlap with the $\Lambda$CDM model at late times. We have discussed some interesting results related to wormhole solutions as evolved from our model. The possible occurrence of Big Trip in wormholes for the models are also discussed.

17 pages, 10 figures. Accepted version IJMPD

References in corpus (15)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• f(R,T) gravity
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Extra force in $f(R)$ modified theories of gravity
• Dark matter production in the early Universe: beyond the thermal WIMP paradigm
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Compact stars in $f(R,T)$ gravity
• Constraining f(R) theories with the energy conditions
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Possible existence of wormholes in the central regions of halos
• Wormhole inspired by non-commutative geometry
• Could wormholes form in dark matter galactic halos?
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity

Cited by in corpus (5)

• Cosmological Inflation in f(Q, T) Gravity
• Anisotropic stars in modified gravity: An extended gravitational decoupling approach
• Emergent Universe from Energy-Momentum Squared Gravity
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity