Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-12-10
Phys.Lett.B707:298-304,2012
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 2 figures, revtex4; v2: discussions added, Phys. Lett. B in press; v3: published version
Scientific paper
10.1016/j.physletb.2011.12.039
As is well known, symmetry plays an important role in the theoretical physics. In particular, the well-known Noether symmetry is an useful tool to select models motivated at a fundamental level, and find the exact solution to the given Lagrangian. In the present work, we try to consider Noether symmetry in $f(T)$ theory. At first, we briefly discuss the Lagrangian formalism of $f(T)$ theory. In particular, the point-like Lagrangian is explicitly constructed. Based on this Lagrangian, the explicit form of $f(T)$ theory and the corresponding exact solution are found by requiring Noether symmetry. In the resulting $f(T)=\mu T^n$ theory, the universe experiences a power-law expansion $a(t)\sim t^{2n/3}$. Furthermore, we consider the physical quantities corresponding to the exact solution, and find that if $n>3/2$ the expansion of our universe can be accelerated without invoking dark energy. Also, we test the exact solution of this $f(T)$ theory with the latest Union2 Type Ia Supernovae (SNIa) dataset which consists of 557 SNIa, and find that it can be well consistent with the observational data in fact.
Guo Xiao-Jiao
Wang Long-Fei
Wei Hao
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