Noether symmetries and quantum cosmology in extended teleparallel gravity

被引：32
作者：
Bajardi, Francesco [1 ,2 ]
Capozziello, Salvatore [1 ,2 ,3 ,4 ]
机构：
[1] Univ Naples Federico II, Dept Phys E Pancini, Via Cinthia, I-80126 Naples, Italy
[2] INFN Sez Napoli, Compl Univ Monte S Angelo,Edificio G,Via Cinthia, I-80126 Naples, Italy
[3] Scuola Super Merid, Largo San Marcellino 10, I-80138 Naples, Italy
[4] Tomsk State Pedag Univ, Ul Kievskaya 60, Tomsk 634061, Russia
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2021年 / 18卷 / SUPP01期
关键词：
Teleparallel gravity; quantum cosmology; Noether symmetries; HAMILTONIAN-FORMULATION; 6TH-ORDER GRAVITY; DARK ENERGY; F R; F(T;
D O I：
10.1142/S0219887821400028
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply the Noether Symmetry Approach to point-like teleparallel Lagrangians in view to derive minisuperspaces suitable for Quantum Cosmology. Adopting the Arnowitt-Deser-Misner formalism, we find out related Wave Functions of the Universe. Specifically, by means of appropriate changes of variables suggested by the existence of Noether symmetries, it is possible to obtain the cosmological Hamiltonians whose solutions are classical trajectories interpretable as observable universes.
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页数：31
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