Scalar Field Potential Distribution for a “Thick” Null String of Constant Radius
DOI:
https://doi.org/10.15407/ujpe56.3.296Keywords:
-Abstract
The general form of the scalar field potential distribution for a "thick" null string of constant radius moving along the axis z and completely lying in a plane orthogonal to this axis at every time moment is proposed. The conditions, under which a contraction of the field to a one-dimensional object (circle of radius R) results in the asymptotic coincidence of components of the energy-momentum tensor of a scalar field with those of a closed null string of the same radius, are found.
References
P.J.E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1993).
A.D. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, 1990).
https://doi.org/10.1201/9780367807788
T. Vachaspti and A. Vilenkin, Phys. Rev. D 30, 2036 (1984).
https://doi.org/10.1103/PhysRevD.30.2036
A. Vilenkin, Phys. Rep. 121, 263 (1985).
https://doi.org/10.1016/0370-1573(85)90033-X
T.W.B. Kibble and M.B. Hindmarsh, e-print hepth/ 9411342.
D.P. Bennet, Formation and Evolution of Cosmic Strings (Cambridge Univ. Press, Cambridge, 1990).
A. Schild, Phys. Rev. D16, 1722 (1977).
https://doi.org/10.1103/PhysRevD.16.1722
S.N. Roshchupkin and A.A. Zheltukhin, Class. Quant. Grav. 12, 2519 (1995).
https://doi.org/10.1088/0264-9381/12/10/011
L.Ya. Arifov, O.P. Lelyakov, and S.M. Roshchupkin, Ukr. Fiz. Zh. 43, 890 (1998).
L.Ya. Arifov, O.P. Lelyakov, and S.M. Roshchupkin, Ukr. Fiz. Zh. 44, 801 (1999).
А.P. Lelyakov, Uchen. Zapis. Tavr. Nat. Univ. Ser. Fiz. 20, 14 (2007).
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