Singular cosmological instantons made regular

Kelley Kirklin, Neil Turok, and Toby Wiseman
Phys. Rev. D 63, 083509 – Published 22 March 2001
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Abstract

The singularity present in cosmological instantons of the Hawking-Turok type is resolved by a conformal transformation, where the conformal factor has a linear zero of codimension 1. We show that if the underlying regular manifold is taken to have the topology of RP4 and the conformal factor is taken to be a twisted field so that the zero is enforced, then one obtains a one-parameter family of solutions of the classical field equations, where the minimal action solution has the conformal zero located on a minimal volume noncontractible RP3 submanifold. For instantons with two singularities, the corresponding topology is that of a cylinder S3×[0,1] with D=4 analogues of “cross-caps” at each of the end points.

  • Received 14 July 2000

DOI:https://doi.org/10.1103/PhysRevD.63.083509

©2001 American Physical Society

Authors & Affiliations

Kelley Kirklin*, Neil Turok, and Toby Wiseman

  • DAMTP, Centre for Mathematical Sciences, Cambridge, CB3 0WA, United Kingdom

  • *Email address: K.H.Kirklin@damtp.cam.ac.uk
  • Email address: N.G.Turok@damtp.cam.ac.uk
  • Email address: T.A.J.Wiseman@damtp.cam.ac.uk

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Issue

Vol. 63, Iss. 8 — 15 April 2001

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