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

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...

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Main Authors: Nahomi Kan, Kiyoshi Shiraishi
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/404508
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author Nahomi Kan
Kiyoshi Shiraishi
author_facet Nahomi Kan
Kiyoshi Shiraishi
author_sort Nahomi Kan
collection DOAJ
description 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.
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institution Kabale University
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spelling doaj-art-700f969170824f639ebf1f43f136c1e52025-02-03T05:53:18ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/404508404508Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and CompactificationNahomi Kan0Kiyoshi Shiraishi1National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495, JapanGraduate School of Science and Engineering, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753–8512, JapanWe 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.http://dx.doi.org/10.1155/2015/404508
spellingShingle Nahomi Kan
Kiyoshi Shiraishi
Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
Advances in High Energy Physics
title Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
title_full Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
title_fullStr Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
title_full_unstemmed Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
title_short Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification
title_sort critical combinations of higher order terms in einstein maxwell theory and compactification
url http://dx.doi.org/10.1155/2015/404508
work_keys_str_mv AT nahomikan criticalcombinationsofhigherordertermsineinsteinmaxwelltheoryandcompactification
AT kiyoshishiraishi criticalcombinationsofhigherordertermsineinsteinmaxwelltheoryandcompactification