Generalized Noether symmetry in f(T) gravity

2012/10/21 by H. Mohseni Sadjadi · 56 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cold dark matter #Cosmology #Cosmology and Gravitation Theories #Function (biology) #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Lagrangian #Mathematical physics #Mathematics #Noether's theorem #Physics #Quantum mechanics #Symmetry (geometry) #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.10.073

published in Physics Letters B 718(2), 270-275 (Elsevier BV) · 14 pages, 3 figures

arxiv created 2012/10/21 · openalex publication_date 2012/10/26 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider modified teleparallel gravity (f(T) gravity), as a framework to explain the present accelerated expansion of the universe. The matter component is assumed to be cold dark matter. To find the explicit form of the function f, we utilize generalized Noether theorem and use generalized vector fields as variational symmetries of the corresponding Lagrangian. We study the cosmological consequences of the obtained results.

Citations

• Teleparallel Gravity: An Overview
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R)theories of gravity
• Noether symmetry approach in f(R)–tachyon model
• Generalized second law of thermodynamics in f(T) gravity
• Noether symmetry in f(R) cosmology
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Noether symmetry approach in phantom quintessence cosmology
• Large-scale structure inf(T)gravity
• Dynamics of dark energy
• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics

Cited by

• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Exact Kantowski–Sachs spacetimes in Einstein–Aether scalar field theory
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology