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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
Noether symmetries and analytical solutions in f(T) cosmology: A complete study
Physical Review D - Particles, Fields, Gravitation and Cosmology, Volume 88, No. 10, Article 103526, Year 2013
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Description
We investigate the main features of the flat Friedmann-Lemaître- Robertson-Walker cosmological models in the f(T) modified gravity regime. 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) pointlike Lagrangian. We find that only the f(T)=f 0Tn model admits extra Noether symmetries. The existence of extra Noether integrals can be used in order to simplify the system of differential equations (equations of motion) as well as to determine the integrability of the f(T)=f0Tn cosmological model. Within this context, we can solve the problem analytically and thus we provide the evolution of the main cosmological functions such as the scale factor of the Universe, the Hubble expansion rate, the deceleration parameter, and the linear matter perturbations. We show that the f(T)=f0Tn cosmological model suffers from two basic problems. The first problem is related to the fact that the deceleration parameter is constant which means that it never changes sign, and therefore the Universe always accelerates or always decelerates depending on the value of n. Second, we find that the clustering growth rate remains always equal to unity implying that the recent growth data disfavor the f(T)=f0Tn gravity. Finally, we prove that the f(T)=f0Tn gravity can be cosmologically equivalent with the f(R)=Rn gravity model and the time varying vacuum model Λ(H)=3γH2 (for n-1=1-γ) because the above cosmological scenarios share exactly the same Hubble expansion, despite the fact that the three models have a different geometrical origin. Finally, some important differences with power-law f(R) gravity are pointed out. © 2013 American Physical Society.
Authors & Co-Authors
Basilakos, Spyros
Greece, Athens
Academy of Athens
Capozziello, Salvatore
Italy, Naples
Università Degli Studi Di Napoli Federico Ii
Italy, Naples
Istituto Nazionale Di Fisica Nucleare, Sezione Di Napoli
de Laurentis, Mariafelicia
Italy, Naples
Università Degli Studi Di Napoli Federico Ii
Italy, Naples
Istituto Nazionale Di Fisica Nucleare, Sezione Di Napoli
Paliathanasis, Andronikos
Greece, Athens
National and Kapodistrian University of Athens
Tsamparlis, Michael
Greece, Athens
National and Kapodistrian University of Athens
Statistics
Citations: 135
Authors: 5
Affiliations: 4
Identifiers
Doi:
10.1103/PhysRevD.88.103526
ISSN:
15502368
Study Design
Phenomenological Study
Study Approach
Qualitative