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Title: Homogeneous instantons in bigravity
Authors: Zhang, Ying-li
Sasaki, Misao
Yeom, Dong-han
Author's alias: 佐々木, 節
Keywords: Solitons Monopoles and Instantons
Models of Quantum Gravity
Issue Date: 7-Apr-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Issue: 4
Thesis number: 16
Abstract: We study homogeneous gravitational instantons, conventionally called the Hawking-Moss (HM) instantons, in bigravity theory. The HM instantons describe the amplitude of quantum tunneling from a false vacuum to the true vacuum. Corrections to General Relativity (GR) are found in a closed form. Using the result, we discuss the following two issues: reduction to the de Rham-Gabadadze-Tolley (dRGT) massive gravity and the possibility of preference for a large e-folding number in the context of the Hartle-Hawking (HH) no-boundary proposal. In particular, concerning the dRGT limit, it is found that the tunneling through the so-called self-accelerating branch is exponentially suppressed relative to the normal branch, and the probability becomes zero in the dRGT limit. As far as HM instantons are concerned, this could imply that the reduction from bigravity to the dRGT massive gravity is ill-defined.
Description: Article funded by SCOAP3.
Rights: The final publication is available under Open Access at Springer via
DOI(Published Version): 10.1007/JHEP04(2015)016
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