Nöther Symmetries in Bianchi Universes
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In this article, the Nother Symmetry Approach is used to study the Einstein equations minimally coupled with a scalar field, in the case of Bianchi universes of class A and B.Abstract:
We use our Nother Symmetry Approach to study the Einstein equations minimally coupled with a scalar field, in the case of Bianchi universes of class A and B. Possible cases, when such symmetries exist, are found and two examples of exact integration of the equations of motion are given in the cases of Bianchi AI and BV.read more
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f(T) teleparallel gravity and cosmology
Yi-Fu Cai,Salvatore Capozziello,Mariafelicia De Laurentis,Emmanuel N. Saridakis,Emmanuel N. Saridakis,Emmanuel N. Saridakis +5 more
TL;DR: In this paper, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description.
Journal ArticleDOI
f(T) teleparallel gravity and cosmology
Yi-Fu Cai,Salvatore Capozziello,Mariafelicia De Laurentis,Emmanuel N. Saridakis,Emmanuel N. Saridakis,Emmanuel N. Saridakis +5 more
TL;DR: The role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description, and various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories are reviewed.
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Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
TL;DR: In this article, the Hamiltonian dynamics for cosmologies coming from Extended Theories of Gravity are discussed, and the existence of conserved quantities gives a selection rule to recover classical behavior in cosmic evolution according to the so-called Hartle criterion, which allows one to select correlated regions in the configuration space of dynamical variables.
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Noether Symmetry in $f(T)$ Theory
TL;DR: In this paper, the authors considered Noether symmetry in f ( T ) theory and showed that the universe experiences a power-law expansion a ( t ) ∼ t 2 n/3.
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Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
TL;DR: In this article, the existence of a Noether vector seems to rule the presence of higher-order corrections of gravity in a class of theories of gravity where the Ricci scalar R and its d'Alembertian □ R are present.
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