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Filtering by: Academic Affiliation Mathematics Creator Manogue, Corinne A. Peer Reviewed Yes Resource Type Article Rights Statement Copyright Not Evaluated

The construction of spinor fields on manifolds with smooth degenerate metrics

Creator:

Schray, Jörg, Dray, Tevian, Manogue, Corinne A., Tucker, Robin W., and Wang, Charles

Abstract:

We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex...

Resource Type:

Article
Detecting the rotating quantum vacuum

Creator:

Davies, Paul C. W., Dray, Tevian, and Manogue, Corinne A.

Abstract:

We derive conditions for rotating particle detectors to respond in a variety of bounded spacetimes and compare the results with the folklore that particle detectors do not respond in the vacuum state appropriate to their motion. Applications involving possible violations of the second law of thermodynamics are briefly addressed.

Resource Type:

Article
Scalar field equation in the presence of signature change

Creator:

Dray, Tevian, Manogue, Corinne A., and Tucker, Robin W.

Abstract:

We consider the (massless) scalar field on a two-dimensional manifold with metric that changes signature from Lorentzian to Euclidean. Requiring a conserved momentum in the spatially homogeneous case leads to a particular choice of propagation rule. The resulting mix of positive and negative frequencies depends only on the total (conformal)...

Resource Type:

Article

ScholarsArchive@OSU

The construction of spinor fields on manifolds with smooth degenerate metrics

Detecting the rotating quantum vacuum

Scalar field equation in the presence of signature change

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