New exact solutions of Bianchi I, Bianchi III and Kantowski-Sachs spacetimes in scalar-coupled gravity theories via Noether gauge symmetries

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• 作者：U. Camci ; ^{ugurcamci@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{ucamci@akdeniz.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; A. Yildirim ^{aydinyildirim@akdeniz.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; I. Basaran Oz ^{isilbasaran@akdeniz.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bianchi I spacetime ; Bianchi III spacetime ; Kantowski-Sachs spacetime ; Scalar-coupled theory of gravity ; Noether gauge symmetry
• 刊名：Astroparticle Physics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：76
• 期：Complete
• 页码：29-37
• 全文大小：405 K

文摘

The Noether symmetry approach is useful tool to restrict the arbitrariness in a gravity theory when the equations of motion are underdetermined due to the high number of functions to be determined in the ansatz. We consider two scalar-coupled theories of gravity, one motivated by induced gravity, the other more standard; in Bianchi I, Bianchi III and Kantowski–Sachs cosmological models. For these models, we present a full set of Noether gauge symmetries, which are more general than those obtained by the strict Noether symmetry approach in our recent work. Some exact solutions are derived using the first integrals corresponding to the obtained Noether gauge symmetries.