Abstract
We have obtained static spherically symmetric solution within the framework of PUFT which corresponds to wormholes at a certain ratio of parameters. We investigate the obtained solution for stability. It is found that there is an exponentially in time growing mode for all parameter values, which leads to the instability of the wormhole.
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REFERENCES
L. Flamm, Phys. Z. 17, 448 (1916).
A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935).
T. Kaluza, Sitzungsber. König. Preus. Akad. Wissensch., 966 (1921).
O. Klein, Zeitschr. Phys. 37, 895 (1926).
P. Jordan, Schwerkraft und Weltall (Vieweg, Braunschweig, 1955).
H. G. Ellis, J. Math. Phys. 14, 104 (1973).
E. Schmutzer, Relativistische Physik: Klassiche Theorie (Teubner, Leipzig, 1968).
E. Schmutzer, Projektive Einheitliche Feldtheorie mit Anwendungen in Kosmologie und Astrophysik. Neues Weltbild ohne Urknall? (Harri Deutsch, Berlin, 2004).
A. K. Gorbatsievich, Gen. Relat. Grav. 33, 965 (2001); gr-qc/0003053.
S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford Univ. Press, New York, 1983).
A. Gorbatsievich, in The Gravitational Constant: Generalized Gravitational Theories and Experiments, Conference Proceedings, Ed. by V. de Sabbata, G. T. Gillies, and V. N. Melnikov, Vol. 141 of NATO Sci. Ser. (Springer, 2004), p. 193.
A. K. Gorbatsievich and F. Desokey, Nonlin. Phenom. Complex Syst. 8, 35 (2005).
J. A. González, F. S. Guzmán, and O. Sarbach, Class. Quantum Grav. 26, 015010 (2009); arXiv: 0806.0608.
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Paper presented at the Fourth Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus, on September 7–11, 2020. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.
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Shaplov, A.O. Stability of a Static Spherically Symmetric Wormholes in the Framework of 5-Dimensional Projective Unified Field Theory (PUFT). Astron. Rep. 65, 1042–1047 (2021). https://doi.org/10.1134/S1063772921100346
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DOI: https://doi.org/10.1134/S1063772921100346