Abstract
The minimal relativistic model of gravitation on the basis of the gauge-invariant theory of the linear scalar massless field is suggested. The principle of the multiplicative inclusion of gravitational interaction, the requirements being that the simplicity and invariance of the theory under the allowed (gauge) transformation of potential Ф → Ф′ = Ф + const as the basis of the approach, is used. A system of gauge-invariant gravitational field and matter equations is obtained and an energy-momentum tensor with a positively defined density of the field energy is constructed. The exact solutions to equations for the central static field and for fields of spherically symmetric and plane gravitational waves in the free space and in the material media are obtained.
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Original Russian Text © A.N. Serdyukov, 2009, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2009, No. 3 (150), pp. 312–331.
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Serdyukov, A.N. A minimal relativistic model of gravitation within standard restrictions of the Classical Theory of Fields. Phys. Part. Nuclei Lett. 6, 190–201 (2009). https://doi.org/10.1134/S1547477109030029
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DOI: https://doi.org/10.1134/S1547477109030029