Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/2403
Title: | Transport along null curves |
Authors: | Samuel, J. Nityananda, R. |
Issue Date: | Apr-2000 |
Publisher: | IOP Publishing Ltd. |
Citation: | Journal of Physics A, 2000, Vol.33, p2895-2905 |
Abstract: | Fermi transport is useful for describing the behaviour of spins or gyroscopes following non-geodesic, timelike worldlines. However, Fermi transport breaks down for null worldlines. We introduce a transport law for polarization vectors along non-geodesic null curves. We show how this law emerges naturally from the geometry of null directions by comparing polarization vectors associated with two distinct null directions. We then give a spinorial treatment of this topic and make contact with the geometric phase of quantum mechanics. There are two significant differences between the null and timelike cases. In the null case (a) the transport law does not approach a unique smooth limit as the null curve approaches a null geodesic and (b) the transport law for vectors is integrable, i.e. the result depends only on the local properties of the curve and not on the entire path taken. However, the transport of spinors is not integrable: there is a global sign of topological origin. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/2403 |
ISSN: | 1751-8113 1751-8121 (Online) |
Alternative Location: | http://adsabs.harvard.edu/cgi-bin/bib_query?2000JPhA...33.2895S http://arxiv.org/abs/gr-qc/0005096 http://dx.doi.org/10.1088/0305-4470/33/14/318 |
Copyright: | 2000 IOP Publishing Ltd. |
Appears in Collections: | Research Papers (A&A) |
Files in This Item:
File | Description | Size | Format | |
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2000 JOP-A.33.P2895.pdf Restricted Access | Restricted Access | 112.31 kB | Adobe PDF | View/Open Request a copy |
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