Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-08
Phys.Rev. D63 (2001) 083509
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, compressed and RevTex file, including nine postscript figure files. Submitted version
Scientific paper
10.1103/PhysRevD.63.083509
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 one. We show that if the underlying regular manifold is taken to have the topology of $RP^4$, 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 $RP^3$ submanifold. For instantons with two singularities, the corresponding topology is that of a cylinder $S^3\times [0,1]$ with D=4 analogues of `cross-caps' at each of the endpoints.
Kirklin Kelly
Turok Neil
Wiseman Toby
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