Abstract
Cosmic strings are considered in space–time with torsion derived from a two-form potential, and in Minkowski space–time with electromagnetism. Using the curvature scalar as the geometrical part of the Lagrangian density, and the natural coupling to strings, the field equations are derived. It is shown a static string loop may satisfy the string equations of motion in the presence of an external torsion field. The gravitational field of the static string are derived in the weak field limit, and it is shown the gravitational field is repulsive exterior to the string. In Minkowski space–time, it is shown an external magnetic field can also give rise to a static loop.
Highlights
Cosmic strings, long singular threads weaving their way through the cosmos, are perhaps the most unique objects in the Universe
In a similar way we find, far from the cosmic string, the results displayed in figure 2
Starting from a simple and natural coupling of a string source to gravitation with torsion that is derived from a two-form potential, it was shown a static solution exists if there is an external torsion field
Summary
Cosmic strings are considered in space–time with torsion derived from a two-form potential, and in licence. Using the curvature scalar as the geometrical part of. Any further distribution of this work must maintain the Lagrangian density, and the natural coupling to strings, the field equations are derived. It is shown attribution to the a static string loop may satisfy the string equations of motion in the presence of an external torsion author(s) and the title of the work, journal citation field. The gravitational field of the static string are derived in the weak field limit, and it is shown the and DOI. Gravitational field is repulsive exterior to the string. In Minkowski space–time, it is shown an external magnetic field can give rise to a static loop
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