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Spherically symmetric static solutions in a nonlocal infrared modification of General Relativity

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Published in Journal of High Energy Physics. 2014, vol. 2014, no. 8, p. 29
Collection SCOAP3
Abstract We discuss static spherically symmetric solutions in a recently proposed nonlocal infrared modification of Einstein equations induced by a term m 2 g μν □−1 R, where m is a mass scale. We find that, contrary to what happens in usual theories of massive gravity, in this nonlocal theory there is no vDVZ discontinuity and classical non-linearities do not become large below a Vainshtein radius parametrically larger than the Schwarzschild radius r S . Rather on the contrary, in the regime r ≪ m −1 the corrections to the metric generated by a static body in GR are of the form 1 + O (m 2 r 2) and become smaller and smaller toward smaller values of r. The modification to the GR solutions only show up at r ≳ m −1. For m = O (H 0), as required for having interesting cosmological consequences, the nonlocal theory therefore recovers all successes of GR at the solar system and lab scales
Keywords Cosmology of Theories beyond the SMClassical Theories of Gravity
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arXiv: 1401.8289
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KECHAGIAS, Alexandros, MAGGIORE, Michele. Spherically symmetric static solutions in a nonlocal infrared modification of General Relativity. In: Journal of High Energy Physics, 2014, vol. 2014, n° 8, p. 29. https://archive-ouverte.unige.ch/unige:40529

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Deposited on : 2014-09-26

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