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Revisiting Conserved Currents in the F(R) Theory of Gravity via Noether Symmetry |
| Nayem Sk.1, Abhik Kumar Sanyal2* |
1Deptment of Physics, University of Kalyani, Nadia 741235, India
2Deptment of Physics, Jangipur College, Murshidabad 742213, India
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| Cite this article: |
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Nayem Sk., Abhik Kumar Sanyal 2013 Chin. Phys. Lett. 30 020401 |
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Abstract Noether symmetry of the F(R) theory of gravity in a vacuum and in the presence of pressureless dust yields F(R)∝R3/2 along with the conserved current d/dt(a√R) in the Robertson–Walker metric and nothing else. However, some authors recently claimed to have obtained four conserved currents setting F(R)∝R3/2 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.
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Received: 19 October 2012
Published: 02 March 2013
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