Multi-Weyl Solutions to the Einstein Equation Coupled with Scalar Field

Details Multi-Weyl Solutions to the Einstein Equation Coupled with Scalar Field Multi-Weyl Solutions to the Einstein Equation Coupled with Scalar Field

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pthph..90..991a&link_type=abstract

Progress of Theoretical Physics, Vol. 90, No. 5, pp. 991-999.

Physics

3

Scientific paper

We study the static Einstein equation coupled with a scalar field with axial symmetry. The zero curvature equation both for the scalar field and a part of the metric in the scalar-Einstein equation enables one to obtain soliton solutions for both the scalar field and the metric. Of the infinite series of solutions for the metric and the scalar field we focus on the solution composed of 4-soliton solution of metric and 4-soliton solution of scalar field. We give a physical interpretation of the solution that two Weyls with scalar charges are exactly sustained by the tension of a string lying between the two Weyls.

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