Global Lorentzian geometry of lightlike geodesics: what does an observer in (2+1) gravity see?

Meusburger C (2011)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Publisher: International Press and the American Mathematical Society

Book Volume: 50

Pages Range: 261-276

Abstract

We show how an observer could measure the non -local holonomy variables that
parametrise the flat Lorentzian 3d manifolds arising as spacetimes in (2+1)-gravity.
We consider an observer who emits lightray s that return to him at a later time
and performs several realistic measurements associated with such retur ning ligh-
trays: the eigentime elapsed between the emission of the lightrays and their return,
the directions into which the light is emitted and fr om which it returns an d the
frequency shift between the emitted and returning lightray. We show how the
holonomy variables and hence the full geometry of these manifolds can be recon-
structed from these measurements in finite eigentime.

 

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How to cite

APA:

Meusburger, C. (2011). Global Lorentzian geometry of lightlike geodesics: what does an observer in (2+1) gravity see? AMS/IP Studies in Advanced Mathematics, 50, 261-276.

MLA:

Meusburger, Cathérine. "Global Lorentzian geometry of lightlike geodesics: what does an observer in (2+1) gravity see?" AMS/IP Studies in Advanced Mathematics 50 (2011): 261-276.

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