Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1346

 Title: New Vacuum Solutions for Quadratic Metric-Aﬃne Gravity - a Metric Aﬃne Model for the Massless Neutrino? Authors: Pasic, Vedad Keywords: Quadratic Metric-Aﬃne Gravitypp-WavesTorsionExact SolutionNeutrino Issue Date: 2010 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 329p-340p Abstract: In this paper we present an overview of our research that was presented at theMASSEE International Congress on Mathematics MICOM 2009 in Ohrid, Macedonia. We deal with quadratic metric–aﬃne gravity, which is an alternative theory of gravity. We present new vacuum solutions for this theory and an attempt to give their physical interpretation on the basis of comparison with existing classical models. These new explicit vacuum solutions of quadratic metric–aﬃne gravity are constructed using generalised pp-waves. A classical pp- wave is a 4-dimensional Lorentzian spacetime which admits a non–vanishing parallel spinor ﬁeld. We generalise this deﬁnition to metric compatible spacetimes with torsion, describe basic properties of such spacetimes and eventually use them to construct new solutions to the ﬁeld equations of quadratic metric–aﬃne gravity. The physical interpretation of these solutions we propose is that these new solutions represent a conformally invariant metric–aﬃne model for the massless neutrino. We give a comparison with a classical model describing the interaction of gravitational and massless neutrino ﬁelds, namely Einstein-Weyl theory. Future research topics are brieﬂy discussed. Description: AMS Subj. Classiﬁcation: 83C15, 83C35 URI: http://hdl.handle.net/10525/1346 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 24, 2010, Fasc. 3-4

Files in This Item:

File Description SizeFormat
mb-vol24-fasc34-2010-329p-340p.pdf179.66 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 DSpace Software Copyright © 2002-2009  The DSpace Foundation - Feedback