Revisiting Conserved Currents in the F (R ) Theory of Gravity via Noether Symmetry
Nayem Sk.1 , Abhik Kumar Sanyal2*
1 Deptment of Physics, University of Kalyani, Nadia 741235, India2 Deptment of Physics, Jangipur College, Murshidabad 742213, India
Abstract ：Noether symmetry of the F (R ) theory of gravity in a vacuum and in the presence of pressureless dust yields F (R )∝R 3/2 along with the conserved current d/dt (a √R F (R )∝R 3/2 a-priori, taking time translation along with a gauge term. We show that the first one of these does not satisfy the field equations and the second one is the Hamiltonian which is constrained to vanish in gravity and thus a part and parcel of the field equations. We also show that the other two conserved currents, which do not contain time translation, are the same in disguise and identical to the one mentioned above. Thus the claim is wrong.
收稿日期: 2012-10-19
出版日期: 2013-03-02
[1] Nojiri S and Odintsov S D 2011 Phys. Rep. 505 59 2011 Phys. Rep. 509 167 2000 Gen. Relativ. Grav. 32 295 2007 Class. Quant. Grav. 24 2153 2007 J. Cosmol. Astropart. Phys. 12 009 2008 J. Cosmol. Astropart. Phys. 08 016 2008 Phys. Lett. B 664 16 2008 Phys. Lett. B 669 206 2008 Phys. Lett. B 664 12 2010 Phys. Lett. B 689 117 2012 Int. J. Theor. Phys. (accepted) arXiv:1201.2987[astro-ph.CO] 2012 Int. J. Theor. Phys. (accepted) 2012 Astrophys. Space Sci. 337 373 2011 Phys. Lett. B 702 315 2012 Chin. Phys. Lett. 29 080402 2012 Astrophys. Space Sci. 342 549 2012 arXiv:1208.3603[astro-ph.CO] 2005 Gen. Relativ. Gravit. 37 1957 2012 Class. Quantum Grav. 29 215007
[1]
Gamal G. L. Nashed;
. Cylindrically Symmetric Solution in Teleparallel Theory
[2]
Raj Bali;Seema Tinker. Bianchi Type III Bulk Viscous Barotropic Fluid Cosmological Models with Variable G and Λ
[3]
Raj Bali;Seema Tinker. Bianchi Type-V Bulk Viscous Barotropic Fluid Cosmological Model with Variable G and Λ
[4]
EL-NABULSI Ahmad Rami. Accelerated D-Dimensional Compactified Universe in Gauss--Bonnet--Dilatonic Scalar Gravity from D-Brane/M-Theory
[5]
Arbab Ibrahim Arbab. Comment on `Five-Dimensional Cosmological Model with Variable
[6]
H. Baysal;.I. Yilmaz. Five-Dimensional Cosmological Model with Variable G and Λ
[7]
M. Aygun;S. Aygun;.I.Yilmaz;H. Baysal;.I. Tarhan. Moller Energy--Momentum Complex in General Relativity for Higher Dimensional Universes
[8]
LUO Feng;LIU Hong-Ya. Exploring Extra Dimensions in Spectroscopy Experiments
[9]
ZHANG Yun;JING Ji-Liang. Dirac Quasinormal Modes of the Schwarzschild--anti-de Sitter Black Hole with a Global Monopole
[10]
WEN Hai-Bao;HUANG Xin-Bing. Dark Energy Density in Brane World
[11]
B. Mishra. Non-Static Plane Symmetric Zeldovich Fluid Model In Scale Invariant Theory
[12]
XU Li-Xin;LIU Hong-Ya;WANG Bei-Li. Big Bounce Singularity of a Simple Five-Dimensional Cosmological Model
[13]
A. G. Agnese;M. La Camera. Cosmology with Two Compactification Scales
[14]
HE Feng;LIU liao. A New Traversable Wormhole Solution in Vacuum Brans-Dicke Theory
[15]
SHANG Yan-wen;XU Jian-jun. Wormhole Solution in Lovelock Gravity Theory
2013, Vol. 30 
