Any spacetime has a Bianchi type I spacetime as a limit

作者:Cropp Bethan*; Visser Matt
来源:Classical and Quantum Gravity, 2011, 28(5): 055007.
DOI:10.1088/0264-9381/28/5/055007

摘要

Pick an arbitrary timelike geodesic in an arbitrary spacetime. We shall demonstrate that there is a particular limiting process, an 'ultra-local limit', in which the immediate tube-like neighbourhood of the timelike geodesic can be 'blown up' to yield a general (typically non-diagonal) Bianchi-type I spacetime. This process shares some (but definitely not all) of the features of the Penrose limit, whereby the immediate tube-like neighbourhood of an arbitrary null geodesic is 'blown up' to yield a pp-wave as a limit.

  • 出版日期2011-3-7