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Noether Symmetry in $f(T)$ Theory | | Hao Wei
; Xiao-Jiao Guo
; Long-Fei Wang
; | | Date: |
10 Dec 2011 | | Abstract: | 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. | | Source: | arXiv, 1112.2270 | | Services: | Forum | Review | PDF | Favorites | |
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