Noether symmetry in $f(T)$ teleparallel gravity

Abstract

Hao Wei et.al. has claimed in $Phys.Lett.\text{B707},298(2012)$ that Noether symmetry in the context of teleparallel $f(T)$ theory of gravity admits $f(T)\propto T^n$, (where $n$ is an arbitrary) in matter domain era in Friedmann- Robertson universe. But, it has been shown that the conserved current obtained under the process does not satisfy the field equations in general. Here, it is shown that Noether Symmetry admits $f(T)\propto T^{\frac{3}{2}}$ along with a conserved current $a\dot{a}{T}^{\frac{1}{2}}$ in teleparallel $f(T)$ gravity. Thus, their claim is not correct.

Appear in Physics Letters B, 9 Pages

References in corpus (45)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(T) teleparallel gravity and cosmology
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Cosmological perturbations in f(T) gravity
• Modified teleparallel theories of gravity
• Non trivial frames for f(T) theories of gravity and beyond
• Observational information for f(T) theories and Dark Torsion
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Noether Symmetry in $f(T)$ Theory
• Using the Noether symmetry approach to probe the nature of dark energy
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
• Noether symmetry approach in phantom quintessence cosmology
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• Noether symmetry in $f(R)$ cosmology
• Noether symmetries in Bianchi universes
• Noether Gauge Symmetry Approach in f(R) Gravity
• Tracker fields from nonminimally coupled theory
• Exponential Potentials for Tracker Fields
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Noether symmetric $f(R)$ quantum cosmology and its classical correlations
• Noether symmetry in the higher order gravity theory
• Palatini f(R) gravity and Noether symmetry
• Is Noether Symmetric Approach Consistent With Dynamical Equation In Non-minimal Scalar-Tensor Theories?
• Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry
• Three fluid cosmological model using Lie and Noether symmetries
• Coupling parameters and the form of the potential via Noether symmetry
• Noether symmetry for Gauss-Bonnet dilatonic gravity
• Viability of Noether symmetry of F(R) theory of gravity
• Extended Lambda-Maxwell duality and related large class of dyonic and neutral exactly solvable 4D Einstein-Maxwell-dilaton models discovered
• Evolution of Dynamical Coupling in Scalar Tensor Theory from Noether Symmetry
• Revisiting Noether gauge symmetry for F(R) theory of gravity
• Why scalar-tensor equivalent theories are not physically equivalent?
• Why Noether symmetry of F(R) theory yields three-half power law?
• Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
• Revisiting conserved currents in F(R) theory of gravity via Noether symmetry
• Noether Symmetry of the Hyperextended Scalar Tensor theory for the FLRW models
• On the equivalence between different canonical forms of F(R) theory of gravity
• Field independent cosmic evolution
• Space-time symmetry restoration in cosmological models with Kalb--Ramond and scalar fields
• Validating variational principle for higher order theory of gravity
• Noether Symmetry of Palatini $F(\Re )$ gravity

Cited by in corpus (11)

• Teleparallel Gravity: From Theory to Cosmology
• Cosmological bouncing solutions in f(T,B) gravity
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
• Inflation with F(T) Teleparallel Gravity
• Conservation laws and Exact Solutions in Brans-Dicke Cosmology with a Scalar Field
• A viable form of the metric Teleparallel F(T) theory of gravity
• Scalar field induced dynamical evolution in teleparallel gravity
• Accelerating universe in modified teleparallel gravity theory
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions