Uniformly accelerated motion in General Relativity: completeness of inextensible trajectories

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• 作者：Daniel de la Fuente (1)
  Alfonso Romero (2)
  
  1. Departamento de Matem谩tica Aplicada ; Universidad de Granada ; 18071 ; Granada ; Spain
  2. Departamento de Geometr铆a y Topolog铆a ; Universidad de Granada ; 18071 ; Granada ; Spain
  
• 关键词：Uniformly accelerated motion ; General Relativity ; Fermi鈥揥alker connection ; Third ; order differential equation ; Completeness of inextensible trajectories ; 83C10 ; 83C75 ; 53C50
• 刊名：General Relativity and Gravitation
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：47
• 期：4
• 全文大小：179 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

The notion of a uniformly accelerated motion of an observer in a general spacetime is analysed in detail. Such a observer may be seen as a Lorentzian circle, providing a new characterization of a static standard spacetime. The trajectories of uniformly accelerated observers are seen as the projection on the spacetime of the integral curves of a vector field defined on a certain fiber bundle over the spacetime. Using this tool, we find geometric assumptions to ensure that an inextensible uniformly accelerated observer does not disappear in a finite proper time.