Scalar-Field Potential Distribution for a Closed “Thick” Null String Moving in the Plane z = 0
A general form for the scalar-field potential distribution has been proposed for a closed “thick” null string either collapsing or expanding in the plane z = 0. Conditions, under which the energy-momentum tensor components for a scalar field that contracts into a one-dimensional object (a circle with a varying radius) asymptotically coincide with those for a closed null string moving along the same trajectory, have been found.
P.J.E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1994).
A.D. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, 1990).
T. Vachaspati and A. Vilenkin, Phys. Rev. D 30, 2036 (1984).
A. Vilenkin and E.P.S. Shellard, Cosmic String and Other Topological Defects (Cambridge Univ. Press, Cambridge, 1994).
T.W.B. Kibble and M.B. Hindmarsh, arXiv: hepth/9411342.
D.P. Bennet, Formation and Evolution of Cosmic Strings (Cambridge Univ. Press, Cambridge, 1990).
A. Schild, Phys. Rev. D16, 1722 (1977).
C.T. Hill, D.N. Schramm, and J.N. Fry, Commun. Nucl. Part. Phys. 19, 25 (1999).
M.V. Sazhin, O.S. Khovanskaya, M. Capaccioli, G. Longo, J.M. Alcala, R. Silvotti, and M.V. Pavlov, arXiv: astroph/0406516.
R. Schild, I.S. Masnyak, B.I. Hnatyk, and V.I. Zhdanov, arXiv: astro-ph/0406434.
S.N. Roshchupkin and A.A. Zheltukhin, Class. Quant. Grav. 12, 2519 (1995).