Scalar-Field Potential Distribution for a Closed “Thick” Null String Moving in the Plane z = 0

Authors

  • O. P. Lelyakov V.I. Vernadskyi Tavrida National University
  • A. S. Karpenko V.I. Vernadskyi Tavrida National University
  • R.-D. O. Babadzhan V.I. Vernadskyi Tavrida National University

DOI:

https://doi.org/10.15407/ujpe59.05.0547

Keywords:

scalar-field potential, “thick” null string, energy-momentum tensor

Abstract

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.

References

P.J.E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1994).

A.D. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, 1990).

https://doi.org/10.1201/b16971

T. Vachaspati and A. Vilenkin, Phys. Rev. D 30, 2036 (1984).

https://doi.org/10.1103/PhysRevD.30.2036

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).

https://doi.org/10.1103/PhysRevD.16.1722

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).

https://doi.org/10.1088/0264-9381/12/10/011

Published

2018-10-23

How to Cite

Lelyakov, O. P., Karpenko, A. S., & Babadzhan, R.-D. O. (2018). Scalar-Field Potential Distribution for a Closed “Thick” Null String Moving in the Plane z = 0. Ukrainian Journal of Physics, 59(5), 547. https://doi.org/10.15407/ujpe59.05.0547

Issue

Section

Astrophysics and cosmology