INTERACTING SCALAR FIELD IN THE THEORY OF GRAVITY
Abstract
In the framework of the scalar-tensor theory of gravitation, a scalar field is considered, whose source is the trace of own energy-momentum tensor and the trace of the energy-momentum tensor of matter. The potential that enters the Lagrangian of a scalar field depends on three parameters: scalar interaction constant, scalar field mass, and constant that determines the minimum of the field energy. The representation of the scalar-tensor theory on the Minkowski background with a linear connection between the metric and the tensor gravitational potential is considered, and the additional conditions for field equations are obtained that restriction a tensor field over its spin states. For a cosmological problem, it is shown that additional conditions lead to a spatially flat universe according to observations. Numerical solutions of field equations are obtained and on their basis it is shown that the cosmological parameters of the model well describe modern observational data and the scalar field under consideration can then successfully simulate dark energy. The area of variation of parameters of the cosmological solution was studied and a cosmological scalar-tensor solution was compared with the ΛCDM-model of General Relativity. Depending on the model parameters for cosmological evolution, possible scenarios are analyzed.
Keywords
gravitational interaction,
Einstein equations,
scalar field,
cosmology,
cosmological parameters,
dark energy
Supporting agencies: This work was supported by the Belarusian Republican Foundation for Fundamental Research (Project No. F16-044). The authors would like to thank I. G. Dudko for doing the calculations.
About the Authors
Yu. P. Vyblyi
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Ph. D. (Physics and Mathematics), Leading Researcher of the Theoretical Physics Laboratory
68, Nezavisimosti Ave., 220072, Minsk
A. A. Leonovich
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Ph. D. (Physics and Mathematics), Assistant Professor of the Department of Physics
6, P. Brovka Str., 220013, Minsk
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