Effective actions for loop quantum cosmology in fourth-order gravity

被引:7
|
作者
Miranda, Marcello [1 ,2 ]
Vernieri, Daniele [2 ,3 ]
Capozziello, Salvatore [1 ,2 ,3 ,4 ]
Lobo, Francisco S. N. [5 ,6 ]
机构
[1] Scuola Super Merid, Largo San Marcellino 10, I-80138 Naples, Italy
[2] Compl Univ Monte S Angelo, INFN Sez Napoli, Edificio G,Via Cinthia, I-80126 Naples, Italy
[3] Univ Napoli Federico II, Dipartimento Fis E Pancini, Naples, Italy
[4] Tomsk State Univ Control Syst & Radioelect TUSUR, Lab Theoret Cosmol, Tomsk 634050, Russia
[5] Univ Lisbon, Inst Astrofis & Ciencias Espaco, Fac Ciencias, Edificio C8, P-1749016 Lisbon, Portugal
[6] Univ Lisbon, Fac Ciencias, Dept Fis, Edificio C8, P-1749016 Lisbon, Portugal
来源
EUROPEAN PHYSICAL JOURNAL C | 2021年 / 81卷 / 11期
关键词
F R; INFLATION; ENERGY;
D O I
10.1140/epjc/s10052-021-09767-5
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
Loop quantum cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short-range repulsive quantum effects at the Planck scale. In this work, we are interested in reproducing the effective Friedmann equation of LQC, by considering a generic f (R, P, Q) theory of gravity, where R = g(mu nu) R-mu nu is the Ricci scalar, P = R-mu nu R-mu nu, and Q = R-alpha beta mu nu R-alpha beta mu nu is theKretschmann scalar. An order reduction technique allows us to work in f (R, P, Q) theories which are perturbatively close to General Relativity, and to deduce a modified Fried-mann equation in the reduced theory. Requiring that themodified Friedmann equation mimics the effective Friedmann equation of LQC, we are able to derive several functional forms of f (R, P, Q). We discuss the necessary conditions to obtain viable bouncing cosmologies for the proposed effective actions of f (R, P, Q) theory of gravity.
引用
收藏
页数:15
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