Gravitating Self-dual Chern-Simons Solitons

Details Gravitating Self-dual Chern-Simons Solitons Gravitating Self-dual Chern-Simons Solitons

2001-02-24

arxiv.org/abs/gr-qc/0102104v2

Annals Phys.291:276-301,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, 8 figures (Pslatex files are included in the text.) Two references are added. To appear in Annals of Physics

Scientific paper

10.1006/aphy.2001.6162

Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral formalism and study various aspects of dual formulation including derivation of Bogomolnyi type bound. We find all possible rotationally-symmetric soliton configurations carrying magnetic flux and angular momentum when underlying spatial manifolds of these objects comprise a cone, a cylinder, and a two sphere.

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