Polynomial integrals of motion in dilaton gravity theories

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• 作者：E. A. Davydov
• 关键词：gravity ; dynamical system ; integrability ; polynomial integral
• 刊名：Theoretical and Mathematical Physics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：183
• 期：1
• 页码：567-577
• 全文大小：416 KB
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• 作者单位：E. A. Davydov (1)
  
  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-9333

文摘

Investigating modern gravity and cosmology models involves a stage of analyzing associated nonlinear dynamical systems. In general, such systems are not integrable, but they often admit additional integrals of motion. Based on features of dynamical systems appearing in the theory of dilaton gravity, we formulate a universal algorithm seeking the integrals of motion polynomial in momentum. Using this algorithm, we investigate the dilaton gravity theories with a single scalar field for the presence of linear and quadratic integrals of motion.