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.

arXiv comment23 pages, 14 figures, accepted for publication in Chinese Journal of Physics

References in corpus (91)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Quantum Gravity at a Lifshitz Point
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Dark Energy and the Accelerating Universe
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Testing General Relativity with Present and Future Astrophysical Observations
• Curvature Quintessence
• Disappearing cosmological constant in f(R) gravity
• Constraints on the redshift dependence of the dark energy potential
• Modified teleparallel gravity: inflation without inflaton
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Extra force in $f(R)$ modified theories of gravity
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• 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
• Gauss-Bonnet dark energy
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Reconstruction of some cosmological models in f(R,T) gravity
• Thermodynamics in f(R,T) Theory of Gravity
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• A kinematical approach to dark energy studies
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• The White Dwarf Cooling Sequence of the Globular Cluster Messier 4
• Lanczos-Lovelock models of gravity
• f(R,T) Cosmological Models in Phase Space
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• FRW Cosmology in F(R,T) gravity
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ 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
• Cosmological perfect-fluids in f(R) gravity
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Modified gravity as an alternative for Lambda-CDM cosmology
• Cosmological inviability of $f(R,T)$ gravity
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Causality and the speed of sound
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Gödel solution in $f(R,T)$ gravity
• The Lower Main Sequence and Mass Function of the Globular Cluster Messier 4
• Ages of globular clusters: a new approach
• Existence of Compact Structures in $f(R,T)$ Gravity
• Wormhole Modeling Supported by Non-Exotic Matter
• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Configurational entropy in $f(R,T)$ brane models
• Non violation of energy conditions in wormholes modelling
• Charged wormholes in f(R,T) extended theory of gravity
• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• Global Monopole in Palatini f(R) gravity
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Influence of Electric Charge and Modified Gravity on Density Irregularities
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• Big Bounce cosmology for Palatini $R^2$ gravity with a Nieh-Yan term
• $k$-essence $f(R)$ Gravity Inflation
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• A Dynamical System Analysis of $f(R,T)$ Gravity
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study
• Generic slow-roll and non-gaussianity parameters in $f(R)$ theories
• Pressure effects in the weak-field limit of f(R) = R + alpha R^2 gravity
• The effective dynamics of loop quantum $R^2$ cosmology
• Kaluza-Klein bulk viscous fluid cosmological models and the validity of the second law of thermodynamics in $f(R,T)$ gravity

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