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arXiv · 1311.2173

Noether symmetries and analytical solutions in f(T)-cosmology: A complete study

S. Basilakos·S. Capozziello·M. De Laurentis·A. Paliathanasis·M. Tsamparlis
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Abstract

We investigate the main features of the flat Friedmann-Lema{\i}tre-Robertson-Walker cosmological models in the f(T) teleparallel gravity. In particular, a general approach to find out exact cosmological solutions in f (T) gravity is discussed. Instead of taking into account phenomenological models, we consider as a selection criterion, the existence of Noether symmetries in the cosmological f(T) point-like Lagrangian. We find that only power-law models admit extra Noether symmetries. A complete analysis of such cosmological models is developed.

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S. Basilakos, S. Capozziello, M. De Laurentis, A. Paliathanasis, M. Tsamparlis. 2013-11-09. Noether symmetries and analytical solutions in f(T)-cosmology: A complete study. https://doi.org/10.1103/physrevd.88.103526

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