Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation

Abstract

In this work, we investigate for an analytical solution under modified gravity theory, specifically the $f(R,T)$ gravity for two different eras, i.e., matter and dark energy dominated accelerating universe from completely geometrical and mathematical point of view with the help of the Raychaudhuri equation. To construct $f(R,T)$ gravity model, we consider the functional form of $f(R,T)$ as the sum of two independent functions of the Ricci scalar $R$ and the trace of the energy-momentum tensor $T$, respectively. Under the consideration of this type of power law expansion of the Universe we have studied the viability, stability and all the energy conditions. We note that the strong energy condition is not satisfied in our model, which is obvious for the present scenario of the Universe.

arXiv comment15 pages, 27 figures

References in corpus (50)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Disappearing cosmological constant in f(R) gravity
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Approaches to Understanding Cosmic Acceleration
• Reconstruction of some cosmological models in f(R,T) gravity
• Inflationary cosmology in modified gravity theories
• Thermodynamics in f(R,T) Theory of Gravity
• Testing some f(R,T) gravity models from energy conditions
• The Raychaudhuri equations: a brief review
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• On the theory and applications of modern cosmography
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Strange stars in $f(R,\mathcal{T})$ gravity
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological inviability of $f(R,T)$ gravity
• Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Variable Chaplygin gas cosmologies in f(R, T) gravity with particle creation
• Energy conditions constraints on a class of f(R)-gravity
• FLRW cosmological models with quark and strange quark matters in f(R,T) gravity
• Strong energy condition and the repulsive character of f(R) gravity
• Geodesic Deviation Equation in $f(R,T)$ Gravity
• Reconstruction of $f(R)$ gravity models for an accelerated universe using Raychaudhuri equation
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Cosmological models with squared trace in modified gravity
• The dark energy-dominated Universe
• Covariant Generalisation of Codazzi-Raychaudhuri and Area Change Equations for Relativistic Branes

Cited by in corpus (8)

• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• 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
• From Geometry to Observation: Gravitational Waves and the Raychaudhuri Equation