Abstract
A self-consistent set of equations describing the evolution of linear spherically symmetrical perturbations in the Friedmann world is derived for an arbitrary equation of state. A singular part of perturbations corresponding to a massive particle-like source is separated, an evolution equation for calculating the source mass is obtained and solved exactly. An exact solution to evolution equations for perturbations at an arbitrary equation of state is constructed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Yu. G. Ignat’ev and A. A. Popov, The Problems of Gravitation Theory, Relativistic Kinetics, and Evolution of the Universe [in Russian], Izd. KSPI, Kazan, 1988.
Yu. G. Ignat’ev and A. A. Popov, Sov. Phys. J., No. 5, 391 (1989).
Yu. G. Ignat’ev and A. A. Popov, Astrophys. Spac. Sci., 163, 153 (1990).
Yu. G. Ignat’ev and A. A. Popov, Phys. Lett. A, 220, 22 (1996).
J. L. Synge, Relativity: The General Theory, North-Holland Publishing Company, Amsterdam, 1960.
L. D. Landau and E. M. Lifshitz, Field Theory [in Russian], Nauka, Moscow, 1973.
A. Z. Petrov, New Methods in the General Relativity Theory [in Russian], Nauka, Moscow, 1966.
Yu. G. Ignat’ev, Sov. Phys. J., No. 8, 686 (1983).
Yu. G. Ignat’ev, Diss. Doct. Fiz. Mat. Nauk, FIAN BSSR, Minsk, 1988.
N. N. Lebedev, Special Functions and Their Applications [in Russian], Gos. Izd. Fiz. Mat. Literatury, Moscow, 1963.
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 66–76, January, 2008.
Rights and permissions
About this article
Cite this article
Ignat’ev, Y.G., Elmakhi, N. A dynamic model of spherical perturbations in the Friedmann universe. I. Russ Phys J 51, 74–88 (2008). https://doi.org/10.1007/s11182-008-9019-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-008-9019-0