Revisiting Noether gauge symmetry for F(R) theory of gravity |
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Authors: | Nayem Sk Abhik Kumar Sanyal |
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Institution: | 1. Dept. of Physics, Ranitala High School, Murshidabad, 742135, India 2. Dept. of Physics, Jangipur College, Murshidabad, 742213, India
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Abstract: | Noether gauge symmetry for F(R) theory of gravity has been explored recently. The fallacy is that, even after setting gauge to vanish, the form of F(R)∝R n (where n≠1 is arbitrary) obtained in the process, has been claimed to be an outcome of gauge Noether symmetry. On the contrary, earlier works proved that any nonlinear form other than $F(R) \propto R^{\frac{3}{2}}$ is obscure. Here, we show that, setting gauge term zero, Noether equations are satisfied only for n=2, which again does not satisfy the field equations. Thus, as noticed earlier, the only form that Noether symmetry admits is $F(R) \propto R^{\frac{3}{2}}$ . Noether symmetry with non-zero gauge has also been studied explicitly here, to show that it does not produce anything new. |
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