Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 30, Issue 3, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/0264-9381/30/3/035002
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Funding
- MICINN (Spain) [PR2011-0128, FIS2010-15640]
- CPAN Consolider Ingenio Project
- AGAUR (Generalitat de Catalunya) [2009SGR-994]
- RFBR [11-01-00894, 12-02-31109]
- Russian Ministry of Education and Science [NSh-3920.2012.2, CPAN10-PD12]
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A nonlocal gravity model is considered which does not assume the existence of a new dimensional parameter in the action and includes a function f (square(-1) R), with square 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 H = n/t, 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.
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