A Complete Cosmological Scenario in Teleparallel Gravity

Abstract

Teleparallel gravity is a modified theory of gravity in which the Ricci scalar $R$ of the Lagrangian replaced by the general function of torsion scalar $T$ in action. With that, cosmology in teleparallel gravity becomes profoundly simplified because it is second-order theory. The article present a complete cosmological scenario in $f(T)$ gravity with $f(T)=T+\beta (-T{)}^{\alpha }$, where $\alpha ,$ and $\beta$ are model parameters. We present the profiles of energy density, pressure, and equation of state (EoS) parameter. Next to this, we employ statefinder diagnostics to check deviation from the $\Lambda$CDM model as well as the nature of dark energy. Finally, we discuss the energy conditions to check the consistency of our model and observe that SEC violates in the present model supporting the acceleration of the Universe as per present observation.

EPJP accepted version

References in corpus (84)

• 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
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• 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
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Essentials of k-essence
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Statefinder -- a new geometrical diagnostic of dark energy
• f(T) teleparallel gravity and cosmology
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Einstein's Other Gravity and the Acceleration of the Universe
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• The large-scale structure of the Universe
• The teleparallel equivalent of general relativity
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Accelerating universe from F(T) gravity
• Observational constraints on $f(T)$ theory
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Torsion Gravity: a Reappraisal
• Modelling wormholes in $f(R,T)$ gravity
• The dynamical behavior of $f(T)$ theory
• Entropic Accelerating Universe
• Metric-affine approach to teleparallel gravity
• Cosmological Solutions of $f(T)$ Gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• A Local Void and the Accelerating Universe
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Wormhole Geometries In $f(R,T)$ Gravity
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Energy conditions bounds on f(T) gravity
• An improved model-independent assessment of the late-time cosmic expansion
• Gravitational waves in the $f(R,T)$ theory of gravity
• New observational constraints on f(T) gravity from cosmic chronometers
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• $f(T)$ cosmology via Noether symmetry
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Wormholes in exponential $f(R,T)$ gravity
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Does the entropy of the Universe tend to a maximum?
• Constraints on large scale inhomogeneities from WMAP-5 and SDSS: confrontation with recent observations
• Covariance properties and regularization of conserved currents in tetrad gravity
• A thermodynamic motivation for dark energy
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Constraints on barotropic dark energy models by a new phenomenological $q(z)$ parameterization
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Propagation of Polar Gravitational Waves in f(R,T) Scenario
• Conformally symmetric traversable wormholes in modified teleparallel gravity
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Constraining f(T) gravity by dynamical system analysis
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
• Spherical and cylindrical solutions in f (T) gravity by Noether Symmetry Approach
• Noether charge and black hole entropy in teleparallel gravity
• Does information entropy play a role in the expansion and acceleration of the Universe?
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Non-parametric reconstruction of dark energy and cosmic expansion from the Pantheon compilation of type Ia supernovae
• Constraining the Inflationary Equation of State
• Configuration entropy of the Cosmic Web: Can voids mimic the dark energy?
• Gravitational Energy of Kerr and Kerr Anti-de Sitter Space-times in the Teleparallel Geometry
• Energy conditions in f(T) gravity with higher-derivative torsion terms
• Realistic Equations of State for the Primeval Universe

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• Teleparallel Gravity: From Theory to Cosmology
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• How a projectively flat geometry regulates $F(R)$-gravity theory?
• On The Temporal Evolution of Particle Production in $f(T)$ Gravity
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• Generalized Ghost Pilgrim Dark Energy Fractal Cosmology with Observational Constraint
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity
• Metric-Affine Myrzakulov Gravity Theories