Higher-order corrections to the effective gravitational action from Noether symmetry approach

被引：99

作者：

Capozziello, S ^{[1
]}

Lambiase, G ^{[1
]}

机构：

[1] Univ Salerno, Sez Napoli, Ist Nazl Fis Nucl, Dipartimento Sci Fis ER Caianiello, I-84081 Baronissi, Sa, Italy

来源：

GENERAL RELATIVITY AND GRAVITATION | 2000年 / 32卷 / 02期

关键词：

gravitational field equations of arbitrarily high order cosmology;

D O I：

10.1023/A:1001935510837

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Higher-order corrections of the Einstein-Hilbert action of general relativity can be recovered by imposing the existence of a Noether symmetry to a class of theories of gravity where the Ricci scalar R and its d'Alembertian square R are present. In several cases, it is possible to get exact cosmological solutions or, at least, to simplify the dynamics by recovering constants of motion. The main result is that a Noether vector seems to rule the presence of higher-order corrections of gravity.

引用

页码：295 / 311

页数：17

共 42 条

[31] RELATIVISTIC COSMOLOGY WITH QUANTUM CORRECTIONS [J].