On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter

Abstract

Teleparallel gravity offers a path to resolve a number of longstanding issues in general relativity by re-interpreting gravitation as an artifact of torsion rather than curvature. The present work deals with cosmological solutions in an extension of teleparallel gravity. A reconstruction scheme of the theory has been proposed based on the cosmological jerk parameter. The work contains analysis of ensuing cosmological parameters for different viable models and the stability of the models against cosmic time through an investigation of perturbation of matter overdensity and the hubble parameter.

arXiv comment17 pages, 16 figures, to appear in Eur. Phys. J. C

References in corpus (45)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological parameters from SDSS and WMAP
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Evolution of the Scale Factor with a Variable Cosmological Term
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Cosmological perturbations in f(T) gravity
• Accelerating universe from F(T) gravity
• Where new gravitational physics comes from: M-theory?
• Modified gravity and its reconstruction from the universe expansion history
• The covariant formulation of f(T) gravity
• Cosmological reconstruction of realistic modified F(R) gravities
• Inflationary cosmology in modified gravity theories
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Cosmography in f(T)-gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• The dynamical behavior of $f(T)$ theory
• Cosmological Solutions of $f(T)$ Gravity
• Cosmology with massive neutrinos coupled to dark energy
• SDSS galaxy bias from halo mass-bias relation and its cosmological implications
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Gravitational Waves in Modified Teleparallel Theories
• Solar System tests in $f(T)$ gravity
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• Stability of the flat FLRW metric in $f(T)$ gravity
• Galactic Rotation Dynamics in f(T) gravity
• Can Gravity Probe B usefully constrain torsion gravity theories?
• Phase Portraits of general f(T) Cosmology
• F(T) gravity and k-essence
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Stability of the Kasner Universe in f(T) Gravity
• Matter stability in modified teleparallel gravity
• Some aspects of reconstruction using a scalar field in f (T ) Gravity

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• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• No constraints for $f(T)$ gravity from gravitational waves induced from primordial black hole fluctuations
• Complete dark energy scenario in $f(Q)$ gravity
• Accelerating expansion of the universe in modified symmetric teleparallel gravity
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Holographic correspondence of $F(R)$ gravity with/without matter fields
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Cosmic jerk parameter in symmetric teleparallel cosmology
• Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity