On the basis of the general theory of relativity, a solution of the spherically symmetric field with a dark energy model taken into account is proposed; both the external problem and the internal problem are considered. For a particle in the field of a collapsar on the basis of the obtained solution and also of the solution of the limiting Kerr field, the radius of circular orbits is found also with the dark energy model taken into account.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Р. С. Vaidya, Current Sci., 12, 183 (1943).
P. S. Florides, Proc. R. Soc. (London), Ser. 4, 337, 579 (1974). 1963
P. S. Florides, J. Phys. Lett. A, 88, 159 (1983).
U. N. Zakirov, Russ. Phys. J., 60, No. 4, 678–684 (2017).
U. N. Zakirov, Russ. Phys. J., 61, No. 5, 871–878 (2018).
U. N. Zakirov, Russ. Phys. J., 62, No. 9, xxx–xxx (2020); https://doi.org/10.1007/s11182-020-01885-z.
B. K. Harrison, K. S. Thorne, M. Wakano, and J. A.Wheeler, Gravitation Theory and Gravitational Collapse, The University of Chicago Press (1965).
V. A. Brumberg, Relativistic Celestial Mechanics [in Russian], Nauka, Moscow (1972).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Vol. 2, Butterworth-Heinemann, London (1975).
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 187–190, October, 2019.
About this article
Cite this article
Zakirov, U.N. On the Schwarzschild Solution with a Dark Energy Model Taken Into Account. Russ Phys J (2020). https://doi.org/10.1007/s11182-020-01928-5
- dark energy
- general theory of relativity
- Minkowski spacetime
- curvature of a field in Riemannian geometry
- potential energy