https://doi.org/10.1140/epjc/s10052-019-7106-8
Regular Article - Theoretical Physics
Noether symmetries in symmetric teleparallel cosmology
1
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China
2
Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
3
Institute of Space Sciences and Astronomy, University of Malta, Msida, MSD 2080, Malta
4
Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691, Stockholm, Sweden
5
Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia
6
National Institute of Chemical Physics and Biophysics, Rävala pst. 10, 10143, Tallinn, Estonia
7
Dipartimento di Fisica, Universitá di Napoli “Federico II”, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Napoli, Italy
8
INFN Sezione di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Napoli, Italy
9
Gran Sasso Science Institute, Via F. Crispi 7, 67100, L’Aquila, Italy
10
Tomsk State Pedagogical University, ul. Kievskaya, 60, Tomsk, 634061, Russia
* e-mail: dialektopoulos@na.infn.it
Received:
22
May
2019
Accepted:
2
July
2019
Published online:
18
July
2019
We consider a general theory of all possible quadratic, first-order derivative terms of the non-metricity tensor in the framework of Symmetric Teleparallel Geometry. We apply the Noether Symmetry Approach to classify those models that are invariant under point transformations in a cosmological background and we use the symmetries of these models to reduce the dynamics of the system in order to find analytical solutions.
© The Author(s), 2019
