Gravity thaws the frozen moduli of the ℂP1 lump

Speight, J.M. and Strachan, I.A.B. (1999) Gravity thaws the frozen moduli of the ℂP1 lump. Physics Letters B, 457(1-3), pp. 17-22. (doi: 10.1016/S0370-2693(99)00526-2)

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Abstract

The slow motion of a self-gravitating ℂP1 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 ℂP1 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Strachan, Professor Ian
Authors: Speight, J.M., and Strachan, I.A.B.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physics Letters B
Publisher:Elsevier
ISSN:0370-2693
ISSN (Online):1873-2445
Published Online:10 August 1999

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