`Proper acceleration' of a null geodesic in curved spacetime

Authors: Tian G.¹; Zheng Z.²; Liang C.²

Source: Classical and Quantum Gravity, Volume 19, Number 11, 2002 , pp. 2777-2781(5)

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Abstract:

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.

Language: English

Document Type: Miscellaneous

Affiliations: 1: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China 2: Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China

Publication date: 2002-01-01