Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 59, p. 6-9 (2019)

Scalar field at large distances from spherically symmetric static configuration

A. Alexandrov, PhD, Seniour researcher
O. Stashko, Post graduate student
V. Zhdanov, Dr.Sci. Professor  

Astronomical Observatory of Taras Shevchenko National University of Kyiv, Kyiv


Stationary spherically symmetric space-time in the quasi-global coordinates is considered in presence of scalar field (SF) minimally coupled to gravity, with a monomial potential V(ϕ)=ϕn, n>4. We prove convergence of an iterative method to solve the joint system of Einstein – SF equations at sufficiently large distances from the center. The result can be used for a numerical solution for the metric and SF by means of backwards integration from large values of the radial variable to smaller ones.

Key words
Stationary spherically symmetric space-time, scalar field, monomial potential, numerical solution


Alexandrov, A.N., Vavilova, I.B., Zhdanov, V.I., Zhuk, A.I., Kudrya, Yu.N., Parnovsky, S.L., Fedorova, E.V., Yatskiv, Ya.S. 2015. Kiev, Naukova dumka, 332
Novosyadlyi, B., Pelykh, V., Shtanov, Yu., Zhuk, A. 2013, K.: Akademperiodyka, 1
Stashko, O.S., Zhdanov, V.I. 2019, Ukr. J. Phys., 64, 3

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DOI: https://doi.org/10.17721/BTSNUA.2019.59.06-09