Abstract:
We consider the dynamics of a probe null string in the gravitational field of a closed ("thick") null string radially collapsing in a plane. Analysis of the obtained solutions suggests that there might exist several properties of a null-string gas interesting from the cosmological standpoint, such as acceleration of expansion or contraction, a granular structure of the gas, the emergence of stable polarized states, and a domain structure.
Keywords:
null string, gravitational field, equation of motion.
Citation:
A. P. Lelyakov, A. S. Karpenko, “Dynamics of a probe null string in the gravitational field of a closed null string radially collapsing in the plane”, TMF, 190:1 (2017), 162–178; Theoret. and Math. Phys., 190:1 (2017), 140–153
\Bibitem{LelKar17}
\by A.~P.~Lelyakov, A.~S.~Karpenko
\paper Dynamics of a~probe null string in the~gravitational field of a~closed null string radially collapsing in the~plane
\jour TMF
\yr 2017
\vol 190
\issue 1
\pages 162--178
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\jour Theoret. and Math. Phys.
\yr 2017
\vol 190
\issue 1
\pages 140--153
\crossref{https://doi.org/10.1134/S0040577917010123}
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Linking options:
https://www.mathnet.ru/eng/tmf8994
https://doi.org/10.4213/tmf8994
https://www.mathnet.ru/eng/tmf/v190/i1/p162
This publication is cited in the following 10 articles:
A. P. Lelyakov, S. A. Lelyakov, “Dark energy from a gas of thin tubes of a massless scalar field”, Int. J. Mod. Phys. A, 2025
Alexander Lelyakov, Stepan Lelyakov, “Thin tubes of a massless scalar field as a possible source of dark energy”, Class. Quantum Grav., 41:2 (2024), 025009
Alexander Lelyakov, The 1st Electronic Conference on Universe, 2021, 14
A. Lelyakov, “Gravitational interaction in a null string gas and its possible consequences”, Universe, 6:9 (2020), 142
A. P. Lelyakov, “Dynamics of a test null string in the gravitational field of a null string domain that radially changes its size”, Int. J. Mod. Phys. A, 35:2-3, SI (2020), 2040011
A. P. Lelyakov, O. V. Haneychuk, “Solution of Einstein's equations for a closed null string with axial symmetry that is radially increasing its size”, Mosc. Univ. Phys. Bull., 75:1 (2020), 18–25
A. P. Lelyakov, “Mass generation by a massless scalar field”, Gravit. Cosmol., 26:4 (2020), 358–372
A. P. Lelyakov, C. S. Osokin, “On the Possibility of the Formation of Particles With a Nonzero Rest Mass in the “gas” of Null-strings”, Acta Phys. Pol. B, 50:4 (2019), 767–792
A. P. Lelyakov, “Influence of the gravitational field of a null string domain on the dynamics of a test null string”, Gravit. Cosmol., 25:4 (2019), 319–330
Lelyakov A.P., Osokin C.S., “Solution of the Einstein Equations For Axially Symmetric Closed Null String, Conserving Its Shape”, Acta Phys. Pol. B, 48:11 (2017), 2045–2069