Physics
Scientific paper
Jun 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..61l5007m&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 61, Issue 12, 15 June 2000, id.125007
Physics
2
Extended Classical Solutions, Cosmic Strings, Domain Walls, Texture, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
We consider the gravitational properties of supermassive cosmic strings on the basis of the coupled set of Einstein-Higgs-gauge field equations in a nontraditional coordinate system first introduced by Bronnikov. The equations get the most simple form in this frame. We find the area of the parameters allowing the existence of the static stringlike solutions. Within the area of existence there are two regions with drastically different properties of the stringlike solutions. In the region of a smaller symmetry-breaking scale the conical and the Kasner-type metrics do not have any horizon in the cylindrical coordinates. In the region of a greater symmetry-breaking scale both metrics have a horizon. For supermassive strings there is a limiting value of the symmetry-breaking scale. Beyond this value the gravitation field gets so strong that it restores the initial symmetry. In the degenerate Bogomol'nyi case we present analytical solutions at the boundary between the two regions and in the vicinity of the symmetry restoration limiting point. We have also found an analytical expression for the Kasner-type metric in the case of a small symmetry-breaking scale.
Meierovich Boris E.
Podolyak Evgeny R.
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