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Title: Acausality in nonlocal gravity theory
Authors: Zhang, Ying li
Koyama, Kazuya
Sasaki, Misao
Zhao, Gong Bo
Author's alias: 佐々木, 節
Keywords: Classical Theories of Gravity
Models of Quantum Gravity
Issue Date: Mar-2016
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 039
Abstract: We investigate the nonlocal gravity theory by deriving nonlocal equations of motion using the traditional variation principle in a homogeneous background. We focus on a class of models with a linear nonlocal modification term in the action. It is found that the resulting equations of motion contain the advanced Green’s function, implying that there is an acausality problem. As a consequence, a divergence arises in the solutions due to contributions from the future infinity unless the Universe will go back to the radiation dominated era or become the Minkowski spacetime in the future. We also discuss the relation between the original nonlocal equations and its biscalar-tensor representation and identify the auxiliary fields with the corresponding original nonlocal terms. Finally, we show that the acusality problem cannot be avoided by any function of nonlocal terms in the action.
Rights: © 2016, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP03(2016)039
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