Particles with spin in stationary flat spacetimes

Barbot T, Meusburger C (2012)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Geometriae Dedicata Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 161

Pages Range: 23-50

Journal Issue: 1

DOI: 10.1007/s10711-011-9692-y

Abstract

We construct stationary flat three-dimensional Lorentzian manifolds with singularities that are obtained from Euclidean surfaces with cone singularities and closed one-forms on these surfaces. In the application to (2 + 1)-gravity, these spacetimes correspond to models containing massive particles with spin. We analyse their geometrical properties, introduce a generalised notion of global hyperbolicity and classify all stationary flat spacetimes with singularities that are globally hyperbolic in that sense. We then apply our results to (2 + 1)-gravity and analyse the causality structure of these spacetimes in terms of measurements by observers. In particular, we derive a condition on observers that excludes causality violating light signals despite the presence of closed timelike curves in these spacetimes. © 2012 Springer Science+Business Media B.V.

Authors with CRIS profile

Cathérine Meusburger Professur für Mathematik (Darstellungstheorie und Mathematische Physik)

Involved external institutions

University of Avignon and the Vaucluse / Université d'Avignon et des Pays de Vaucluse

France (FR)

How to cite

APA:

Barbot, T., & Meusburger, C. (2012). Particles with spin in stationary flat spacetimes. Geometriae Dedicata, 161(1), 23-50. https://dx.doi.org/10.1007/s10711-011-9692-y

MLA:

Barbot, Thierry, and Cathérine Meusburger. "Particles with spin in stationary flat spacetimes." Geometriae Dedicata 161.1 (2012): 23-50.

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