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'Proper acceleration' of a null geodesic in curved spacetime

Guihua Tian1,2, Zhao Zheng2 and Canbin Liang2

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Given a null geodesic in Minkowski spacetime, there exists a one-parameter family of observers in 'hyperbolic' motion which approaches the null geodesic as the parameter x0 approaches zero. It is well known that the proper acceleration of the observers in the family approaches infinity as their world line approaches the null geodesic. The main purpose of this paper is to generalize this result to future-complete null geodesics in curved spacetimes.


PACS

04.62.+v Quantum fields in curved spacetime

02.40.-k Geometry, differential geometry, and topology

MSC

81T20 Quantum field theory on curved space backgrounds

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 11 (7 June 2002)

Received 26 October 2001, in final form 13 February 2002

Published 7 May 2002


A Corrigendum for this article has been published in 2003 Class. Quantum Grav. 20 4329


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