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
  • [41] Reexamination of polytropic spheres in Palatini f(R) gravity
    Olmo, Gonzalo J.
    PHYSICAL REVIEW D, 2008, 78 (10):
  • [42] Generalized virial theorem in Palatini f(R) gravity
    Sefiedgar, A. S.
    Atazadeh, K.
    Sepangi, H. R.
    PHYSICAL REVIEW D, 2009, 80 (06):
  • [43] Hyperbolically symmetric sources in Palatini f(R) gravity
    M. Z. Bhatti
    Z. Yousaf
    Z. Tariq
    The European Physical Journal C, 2021, 81
  • [44] Wormholes and nonsingular spacetimes in Palatini f(R) gravity
    Bambi, Cosimo
    Cardenas-Avendano, Alejandro
    Olmo, Gonzalo J.
    Rubiera-Garcia, D.
    PHYSICAL REVIEW D, 2016, 93 (06)
  • [45] Cosmographic constraints on a class of Palatini f(R) gravity
    Pires, N.
    Santos, J.
    Alcaniz, J. S.
    PHYSICAL REVIEW D, 2010, 82 (06):
  • [46] Interior spacetimes of stars in Palatini f(R) gravity
    Kainulainen, Kimmo
    Reijonen, Vappu
    Sunhede, Daniel
    PHYSICAL REVIEW D, 2007, 76 (04):
  • [47] Hyperbolically symmetric sources in Palatini f(R) gravity
    Bhatti, M. Z.
    Yousaf, Z.
    Tariq, Z.
    EUROPEAN PHYSICAL JOURNAL C, 2021, 81 (12):
  • [48] Systematic Dynamical Analysis in Palatini f(R) Gravity
    Saeed, Fizza
    Iftikhar, Sehrish
    Manzoor, Rubab
    ADVANCES IN ASTRONOMY, 2024, 2024 (01)
  • [49] Dynamics of axial geometry in Palatini f(R) gravity
    Bhatti, M. Z.
    Yousaf, Z.
    Tariq, Z.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (01)
  • [50] Thick brane in f(R) gravity with Palatini dynamics
    D. Bazeia
    L. Losano
    R. Menezes
    Gonzalo J. Olmo
    D. Rubiera-Garcia
    The European Physical Journal C, 2015, 75