Abstract
We explore the conditions for the existence of Noether symmetries for higher order gravity theory, after introducing an auxiliary variable, which gives the correct quantum description of the theory. It turns out that the application of Noether theorem in higher order theory of gravity is a powerful tool to find the solution of the field equations. A few such physically reasonable solutions like power law inflation are presented.
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Sanyal, A.K., Modak, B., Rubano, C. et al. Noether symmetry in the higher order gravity theory. Gen Relativ Gravit 37, 407–417 (2005). https://doi.org/10.1007/s10714-005-0028-9
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DOI: https://doi.org/10.1007/s10714-005-0028-9