Reconstruction Procedure in Nonlocal Cosmological Models
arXiv:1209.5957 · doi:10.1088/0264-9381/30/3/035002
Abstract
A nonlocal gravity model is considered which does not assume the existence of a new dimensional parameter in the action and includes a function , with the d'Alembertian operator. Using a reconstruction procedure for the local scalar-tensor formulation of this model, a function f is obtained for which the model exhibits power-law solutions with the Hubble parameter , for any value of the constant n. For generic n - namely except for a few special values which are characterized and also specifically studied - the corresponding function f is a sum of exponential functions. Corresponding power-law solutions are found explicitly. Also the case is solved in all detail of a function f such that the model contains both de Sitter and power-law solutions.
18 pages, v2: Section 8 added, version matching the one published in CQG
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