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Hojman Symmetry in $f(T)$ Theory | | Hao Wei
; Ya-Nan Zhou
; Hong-Yu Li
; Xiao-Bo Zou
; | | Date: |
28 May 2015 | | Abstract: | In this work, we consider Hojman symmetry in $f(T)$ theory. Unlike Noether
conservation theorem, the symmetry vectors and the corresponding conserved
quantities in Hojman conservation theorem can be obtained by using directly the
equations of motion, rather than Lagrangian or Hamiltonian. We find that Hojman
symmetry can exist in $f(T)$ theory, and the corresponding exact cosmological
solutions are obtained. We find that the functional form of $f(T)$ is
restricted to be the power-law or hypergeometric type, while the universe
experiences a power-law or hyperbolic expansion. These results are different
from the ones obtained by using Noether symmetry in $f(T)$ theory. | | Source: | arXiv, 1505.7546 | | Services: | Forum | Review | PDF | Favorites | |
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