Asymptotic Stability in Geometric σ-models

Details Asymptotic Stability in Geometric σ-models Asymptotic Stability in Geometric σ-models

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000gregr..32..841v&link_type=ejournal

General Relativity and Gravitation, Volume 32, Issue 5, pp.841-856

Mathematics

Logic

Effective Scalar Field Theory

Scientific paper

Geometric σ-models have been defined as purely geometric theories of scalar fields in interaction with gravity. By construction, these theories possess soliton solutions with topologically nontrivial scalar sectors. We perform a detailed analysis of the stability of the effective scalar field theory far from the soliton core. It is shown that the requirement for the asymptotic stability is consistent with the existence of massive, static, spherically symmetric soliton solutions.

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