学術雑誌論文 Acausality in nonlocal gravity theory

Zhang, Ying li  ,  Koyama, Kazuya  ,  Sasaki, Misao  ,  Zhao, Gong Bo

20162016-03 , Springer Berlin Heidelberg
ISSN:1029-8479
NII書誌ID(NCID):AA1188279X
内容記述
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.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/210366/1/JHEP03%282016%29039.pdf

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