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- Title
Uniformly accelerated motion in General Relativity: completeness of inextensible trajectories.
- Authors
Fuente, Daniel; Romero, Alfonso
- Abstract
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.
- Subjects
FORCE &; energy; ACTION (Physics); KINEMATICS; THEORY of knowledge; LORENTZIAN function
- Publication
General Relativity & Gravitation, 2015, Vol 47, Issue 4, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-015-1879-3