Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity

Abstract

Recently, a new strategy to the reconstruction of $f(R)$-gravity models based on the Raychaudhuri equation has been suggested by Choudhury et al. In this paper, utilizing this method, the reconstruction of anisotropic Einstein-Maxwell equation in the $1+3$ covariant formalism of $f(R)$-gravity is investigated in four modes: $i.$ Reconstruction from a negative constant deceleration parameter refereeing to an ever-accelerating universe; $ii.$ Reconstruction from a constant jerk parameter $j=1$ which recovers celebrated $\Lambda \text{CDM}$ mode of evolution; $iii.$ Reconstruction from a variable jerk parameter $j=Q(t)$; and $iv.$ Reconstruction from a slowly varying jerk parameter. Furthermore, two suggestions for enhancing the method are proposed.

arXiv comment19 pages, 8 figures

References in corpus (35)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Cosmology and the Fate of Dilatation Symmetry
• An alternative to quintessence
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Cosmological Results from High-z Supernovae
• Statefinder -- a new geometrical diagnostic of dark energy
• Curvature Quintessence
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Jerk, snap, and the cosmological equation of state
• Reconciling dark energy models with f(R) theories
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Where new gravitational physics comes from: M-theory?
• First Estimations of Cosmological Parameters From BOOMERANG
• How to determine an effective potential for a variable cosmological term
• How isotropic is the Universe?
• f(R) cosmology by Noether's symmetry
• Cosmological dynamics of Scalar--Tensor Gravity
• Phase Space Analysis of the Accelerating Multi-fluid Universe
• A Quintom scenario with mixed kinetic terms
• Noether and some other dynamical symmetries in Kantowski-Sachs model
• Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices
• Early Universe with modified scalar-tensor theory of gravity
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Noether symmetries and duality transformations in cosmology
• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• A 1-dimensional hydrodynamic model for accretion, cooling and heating of gas in dark matter halos from $z=6$ to $z=0$
• Noether Symmetries of a Modified Model in Teleparallel Gravity and a New Approach for Exact Solutions
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach

Cited by in corpus (2)

• Bianchi I metric solutions with nonminimally coupled Einstein-Maxwell gravity theory
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations