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Advances in High Energy Physics
Volume 2015, Article ID 404508, 10 pages
Research Article

Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification

1National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495, Japan
2Graduate School of Science and Engineering, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753–8512, Japan

Received 27 August 2015; Accepted 1 November 2015

Academic Editor: Chao-Qiang Geng

Copyright © 2015 Nahomi Kan and Kiyoshi Shiraishi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, particularly in the background of spontaneous compactification. Two classes of theories are proposed in this paper. The first model as a generalization of the critical gravity with the Maxwell field could have a de Sitter solution. We consider the Lanczos-Lovelock term and Horndeski term as well as the higher-order Maxwell term for the second model, which contains a possible longer expansion time for the inflationary phase. It is interesting that both models can be regarded as the generalization of the Randjbar-Daemi, Salam and Strathdee (RSS) model and give the well behavior for inflation stage under the specific assumptions.