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Mach’s principle for cosmological solutions in relativistic theory of gravity

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

Mach’s principle in the relativistic theory of gravity (RTG) allows preliminarily selecting all possible solutions of the theory, including cosmological ones. It is shown that Mach’s principle in the RTG with massive gravitons admits only flat and open universe evolution scenarios, excluding the closed universe version. Unlike a standard cosmological solution in the RTG containing only a single free constant to be constrained from above by the causality principle, the most general flat scenario should have two parameters. It is shown that the second constant does not significantly affect realistic cosmological solutions. The open scenario for massless graviton theory is ruled out by the causality principle.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    Yu. V. Chugreev

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  1. Yu. V. Chugreev
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Correspondence to Yu. V. Chugreev.

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Original Russian Text © Yu.V. Chugreev, 2015, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2015.

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Chugreev, Y.V. Mach’s principle for cosmological solutions in relativistic theory of gravity. Phys. Part. Nuclei Lett. 12, 195–204 (2015). https://doi.org/10.1134/S1547477115020090

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