Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology

被引:160
作者
Capozziello, S. [1 ,2 ]
De Laurentis, M. [1 ,2 ]
Odintsov, S. D. [3 ,4 ,5 ,6 ,7 ]
机构
[1] Univ Naples Federico II, Dipartimento Sci Fis, I-80126 Naples, Italy
[2] Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy
[3] ICREA, Bellaterra 08193, Barcelona, Spain
[4] CSIC, ICE, Bellaterra 08193, Barcelona, Spain
[5] CSIC, Fac Ciencias, Inst Ciencies Espai IEEC, Bellaterra 08193, Barcelona, Spain
[6] Tomsk State Pedag Univ, Tomsk, Russia
[7] Eurasian Natl Univ, Astana, Kazakhstan
来源
EUROPEAN PHYSICAL JOURNAL C | 2012年 / 72卷 / 07期
关键词
QUANTUM COSMOLOGY; WAVE-FUNCTION; ROTATION CURVES; SCALAR FIELD; DARK ENERGY; CONSTANT; CONSTRAINTS; CREATION; MODELS; TERMS;
D O I
10.1140/epjc/s10052-012-2068-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We discuss the Hamiltonian dynamics for cosmologies coming from Extended Theories of Gravity. In particular, minisuperspace models are taken into account searching for Noether symmetries. The existence of conserved quantities gives 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. We show that such a statement works for general classes of Extended Theories of Gravity and is conformally preserved. Furthermore, the presence of Noether symmetries allows a straightforward classification of singularities that represent the points where the symmetry is broken. Examples for non-minimally coupled and higher-order models are discussed.
引用
收藏
页码:1 / 21
页数:21
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