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A few cosmological implications of tensor nonlocalities

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2013

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American Physical Society
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We consider nonlocal gravity theories that include tensor nonlocalities. We show that in the cosmological context, the tensor nonlocalities, unlike scalar ones, generically give rise to growing modes. An explicit example with quadratic curvature terms is studied in detail. Possible consequences for recent nonlocal cosmological models proposed in the literature are also discussed.

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© 2013 American Physical Society. We are extremely grateful to R. Woodard for his advice and guidance and to Tessa Baker, Joe Conlon, and Johannes Noller for discussions. P. G. F. acknowledges support from Leverhulme, STFC, BIPAC, and the Oxford Martin School and the hospitality of the Higgs Centre in Edinburgh while this paper was being completed. A. L. M. acknowledges support from MICINN (Spain) Projects No. FIS2011-23000 and Consolider-Ingenio MULTIDARK No. CSD2009-00064, the Salvador de Madariaga program, and the hospitality of Oxford BIPAC.

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