Conformal equivalence and Noether symmetries in cosmology

被引:34
|
作者
Capozziello, S [1 ]
de Ritis, R
Marino, AA
机构
[1] Univ Salerno, Dipartimento Sci Fisiche ER Caianiello, I-84081 Baronissi, Italy
[2] Univ Naples, Dipartimento Sci Fis, Naples, Italy
[3] Ist Nazl Fis Nucl, I-80125 Naples, Italy
[4] Osservatorio Astron Capodimonte, I-80131 Naples, Italy
关键词
D O I
10.1088/0264-9381/14/12/011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we discuss a possible method of finding cosmological exact solutions in the context of nonstandard coupled gravity theories. We consider whether Noether symmetries, present in the cosmological 'point-like' Lagrangian, are preserved under the conformal transformation which reduces a given nonstandard coupled model to the corresponding standard coupled one. We see that Noether symmetries are conformally preserved in a general way.
引用
收藏
页码:3259 / 3268
页数:10
相关论文
共 50 条
  • [31] Noether symmetries and analytical solutions in f(T) cosmology: A complete study
    Basilakos, S.
    Capozziello, S.
    De Laurentis, M.
    Paliathanasis, A.
    Tsamparlis, M.
    PHYSICAL REVIEW D, 2013, 88 (10)
  • [32] A study of phantom scalar field cosmology using Lie and Noether symmetries
    Dutta, Sourav
    Chakraborty, Subenoy
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2016, 25 (05):
  • [33] Constraining generalized non-local cosmology from Noether symmetries
    Sebastian Bahamonde
    Salvatore Capozziello
    Konstantinos F. Dialektopoulos
    The European Physical Journal C, 2017, 77
  • [34] Scalar-tensor gravity cosmology: Noether symmetries and analytical solutions
    Paliathanasis, Andronikos
    Tsamparlis, Michael
    Basilakos, Spyros
    Capozziello, Salvatore
    PHYSICAL REVIEW D, 2014, 89 (06)
  • [35] Constraining generalized non-local cosmology from Noether symmetries
    Bahamonde, Sebastian
    Capozziello, Salvatore
    Dialektopoulos, Konstantinos F.
    EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (11):
  • [36] Multiscalar-torsion cosmology: exact and analytic solutions from noether symmetries
    K. Dialektopoulos
    G. Leon
    A. Paliathanasis
    The European Physical Journal C, 83 (3):
  • [37] Multiscalar-torsion cosmology: exact and analytic solutions from noether symmetries
    Dialektopoulos, K.
    Leon, G.
    Paliathanasis, A.
    EUROPEAN PHYSICAL JOURNAL C, 2023, 83 (03):
  • [38] Classification of the Lie and Noether Symmetries for the Klein-Gordon Equation in Anisotropic Cosmology
    Paliathanasis, Andronikos
    SYMMETRY-BASEL, 2023, 15 (02):
  • [39] LIE SYMMETRIES AND NOETHER SYMMETRIES
    Leach, P. G. L.
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (02) : 238 - 246
  • [40] Interacting quintessence cosmology from Noether symmetries: Comparing theoretical predictions with observational data
    Piedipalumbo, Ester
    Vignolo, Stefano
    Feola, Pasquale
    Capozziello, Salvatore
    PHYSICS OF THE DARK UNIVERSE, 2023, 42