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
相关论文
共 50 条
  • [21] Covariant effective action for loop quantum cosmology from order reduction
    Sotiriou, Thomas P.
    PHYSICAL REVIEW D, 2009, 79 (04):
  • [22] Deformed general relativity and effective actions from loop quantum gravity
    Bojowald, Martin
    Paily, George M.
    PHYSICAL REVIEW D, 2012, 86 (10):
  • [23] Quantum cosmology of (loop) quantum gravity condensates: an example
    Gielen, Steffen
    CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (15)
  • [24] Fourth order gravity: Equations, history, and applications to cosmology
    Schmidt, Hans-Jurgen
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2007, 4 (02) : 209 - 248
  • [25] Noncommutativity in Effective Loop Quantum Cosmology
    Espinoza-Garcia, Abraham
    Torres-Lomas, Efrain
    Perez-Payan, Sinuhe
    Rey Diaz-Barron, Luis
    ADVANCES IN HIGH ENERGY PHYSICS, 2019, 2019
  • [26] Ghost problems from Pauli-Villars to fourth-order quantum gravity and their resolution
    Mannheim, Philip D.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2020, 29 (14):
  • [27] Effective Scenario of Loop Quantum Cosmology
    Ding, You
    Ma, Yongge
    Yang, Jinsong
    PHYSICAL REVIEW LETTERS, 2009, 102 (05)
  • [28] On the Convergence in Effective Loop Quantum Cosmology
    Corichi, Alejandro
    Vukasinac, Tatjana
    Antonio Zapata, Jose
    GRAVITATIONAL PHYSICS: TESTING GRAVITY FROM SUBMILLIMETER TO COSMIC SCALE, 2010, 1256 : 172 - +
  • [29] A new perspective on cosmology in Loop Quantum Gravity
    Alesci, E.
    Cianfrani, F.
    EPL, 2013, 104 (01)
  • [30] An introduction to loop quantum gravity through cosmology
    Ashtekar, A.
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2007, 122 (02): : 135 - 155