Noether symmetry of Palatini F(R) gravity

被引:1
|
作者
Sk, Nayem [1 ]
机构
[1] Univ Kalyani, Dept Phys, Kalyani 741235, W Bengal, India
关键词
Palatini gravity; Noether symmetry; COSMOLOGICAL CONSTANT; EXTENDED THEORIES; EQUIVALENCE;
D O I
10.1142/S0219887818500469
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In metric formalism, Noether symmetry of F(R) theory of gravity in vacuum and in the presence of pressureless dust yields F(R) proportional to R-3/2 along with the conserved current d/dt (a root R) in Robertson-Walker metric and nothing else. However, Roshan and Shojai have claimed in [Palatini f(R) gravity and Noether symmetry, Phys. Lett. B 668 (2008) 238-240] that Noether symmetry in the context of Palatini F(R) theory of gravity admits F(R) proportional to R-s, (where s is arbitrary) in matter domain era in Friedmann-Robertson-Walker universe. But, it has been shown that the conserved current obtained under the process does not satisfy the field equations in general. Here, it is shown that Noether Symmetry admits F(R) proportional to R-3/2 along with a conserved current Sigma(0)a[(a) over dot/a + (Phi) over dot/2 Phi] in Palatini gravity. Thus, their claim is not right.
引用
收藏
页数:10
相关论文
共 50 条
  • [31] POLYTROPIC SPHERES IN PALATINI F(R) GRAVITY
    Barausse, E.
    Sotiriou, T. P.
    Miller, J. C.
    SPANISH RELATIVITY MEETING, ERE2007: RELATIVISTIC ASTROPHYSICS AND COSMOLOGY, 2008, 30 : 189 - 192
  • [32] Boson stars in Palatini f(R) gravity
    Maso-Ferrando, Andreu
    Sanchis-Gual, Nicolas
    Font, Jose A.
    Olmo, Gonzalo J.
    CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (19)
  • [33] Bouncing cosmologies in Palatini f(R) gravity
    Barragan, Carlos
    Olmo, Gonzalo J.
    Sanchis-Alepuz, Helios
    PHYSICAL REVIEW D, 2009, 80 (02)
  • [34] Thermodynamics in f(R) gravity in the Palatini formalism
    Bamba, Kazuharu
    Geng, Chao-Qiang
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2010, (06):
  • [35] Constraining f (R) gravity in the Palatini formalism
    Sotiriou, TP
    CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (04) : 1253 - 1267
  • [36] Palatini f(R) gravity as a fixed point
    Faraoni, Valerio
    PHYSICS LETTERS B, 2008, 665 (04) : 135 - 138
  • [37] Noether symmetry in new extended modified f(R, G, T) theory of gravity
    Malik, Adnan
    Khan, Momina
    Farasat Shamir, M.
    Alkhaldi, Ali H.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (13)
  • [38] Noether symmetry approach in f (G, T) gravity
    Shamir, M. Farasat
    Ahmad, Mushtaq
    EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (01):
  • [39] Noether's stars in f(R) gravity
    De Laurentis, Mariafelicia
    PHYSICS LETTERS B, 2018, 780 : 205 - 210
  • [40] DARK f(R, φ, χ) UNIVERSE WITH NOETHER SYMMETRY
    Shamir, M. F.
    Malik, A.
    Ahmad, M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 205 (03) : 1692 - 1705