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Kaluza-Klein理论中共形不变形式的Klein-Gordon方程

Conformally Invariant Klein-Gordon Equation in Kaluza-Klein Theory
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摘要 在五维黎曼流形基础上 ,将 Klein-Gordon标量场方程由最小耦合情况推广到共形耦合情况 ,并深入讨论了质量相对变化率 ,结果表明 :在静态球对称解和 The Klein Gordon scalar equation is generalized in five dimensional manifold from the minimally coupled case to the conformally coupled case. The relative variation value of mass is discussed thoroughly. The results indicate that the effective 4D mass of a test particle is variable for the static and spherically symmetric solution, and the Friedman cosmological solution.
出处 《郑州大学学报(自然科学版)》 CAS 2001年第2期42-46,共5页 Journal of Zhengzhou University (Natural Science)
关键词 KALUZA-KLEIN理论 KLEIN-GORDON方程 空-时-质理论 共形变换 共形耦合 标量场 引力场 共形不变性 Kaluza Klein theory Klein Gordon equation space time mass theory conformal transformation conformal couple
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参考文献4

  • 1Hongya Liu,Paul S. Wesson. On the Klein–Gordon Equation in Higher Dimensions: Are Particle Masses Variable?[J] 2000,General Relativity and Gravitation(4):583~592
  • 2Guang-Wen Ma. Kerr-type solution in Brans-Dicke theory[J] 1995,International Journal of Theoretical Physics(11):2331~2339
  • 3Guang-Wen Ma. The source term of the field equation in the 5D STM theory of gravitation[J] 1991,Astrophysics and Space Science(2):331~334
  • 4Paul S. Wesson. An embedding for general relativity with variable rest mass[J] 1984,General Relativity and Gravitation(2):193~203

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