The Scalar Field Equation in the Presence of Signature Change

Details The Scalar Field Equation in the Presence of Signature Change The Scalar Field Equation in the Presence of Signature Change

1993-03-01

arxiv.org/abs/gr-qc/9303002v1

Phys.Rev. D48 (1993) 2587-2590

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

requires REVTeX 2.0 or 3.0 (Plain TeX version available on request), 4 pages by default (12 in preprint style), no figures

Scientific paper

10.1103/PhysRevD.48.2587

We consider the (massless) scalar field on a 2-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) size of the spacelike regions and not on the detailed form of the metric. Reformulating the problem using junction conditions, we then show that the solutions obtained above are the unique ones which satisfy the natural distributional wave equation everywhere. We also give a variational approach, obtaining the same results from a natural Lagrangian. (PACS numbers 04.20.Cv and 02.40.+m.)

Affiliated with

Also associated with

No associations

Rating

The Scalar Field Equation in the Presence of Signature Change does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Scalar Field Equation in the Presence of Signature Change, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Scalar Field Equation in the Presence of Signature Change will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297251