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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
30/1999

Gravity thaws the frozen moduli of the C P^1 lump

James Martin Speight and I.A.B. Strachan

Abstract

The slow motion of a self-gravitating C P1 lump is investigated in the approximation of geodesic flow on the moduli space of unit degree static solutions M1. It is found that moduli which are frozen in the absence of gravity, parametrizing the lump's width and internal orientation, may vary once gravitational effects are included. If gravitational coupling is sufficiently strong, the presence of the lump shrinks physical space to finite volume, and the moduli determining the boundary value of the C P1 field thaw also. Explicit formulae for the metric on M1 are found in both the weak and strong coupling regimes. The geodesic problem for weak coupling is studied in detail, and it is shown that M1 is geodesically incomplete. This leads to the prediction that self-gravitating lumps are unstable.

Received:
May 5, 1999
Published:
May 5, 1999

Related publications

inJournal
1999 Repository Open Access
James Martin Speight and I.A.B. Strachan

Gravity thaws the frozen moduli of the CP1 lump

In: Physics Letters / B, 457 (1999) 1-3, pp. 17-22