Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity

Abstract

In the present paper, we have investigated the Friedmann Robertson Walker (FRW) model in viable $f(R,T)$ gravity with $f(R,T)$ function proposed as $f(R,T)=R+\xi T^{1/2}$, where $\xi$ is an arbitrary constant, $R$ is the scalar curvature and $T$ is the trace of stress energy tensor. Defining the scale factor, the field equations are solved numerically and the energy conditions are analyzed. Further, determining Hubble parameter and deceleration parameter, their present values are estimated. Furthermore, 57 redshift data (42 redshift data from Supernova Cosmology project and 15 redshift data from Calán/ Tolono Supernova survey) are used to estimate the age of the universe and to find the best fit curves for luminosity distance and apparent magnitude.

23 pages, 14 figures, accepted for publication in Chinese Journal of Physics

References in corpus (35)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Quantum Gravity at a Lifshitz Point
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy and the Accelerating Universe
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Modified teleparallel gravity: inflation without inflaton
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Extra force in $f(R)$ modified theories of gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• A kinematical approach to dark energy studies
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• FRW Cosmology in F(R,T) gravity
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Cosmological Constraints on f(R) Acceleration Models
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Modified gravity as an alternative for Lambda-CDM cosmology
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Causality and the speed of sound
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Wormhole Modeling Supported by Non-Exotic Matter
• Non violation of energy conditions in wormholes modelling
• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• $k$-essence $f(R)$ Gravity Inflation
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study

Cited by in corpus (3)

• Non-Local Gravity Wormholes
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Observational constraints on nonlinear matter extensions of general relativity: Separable trace power models