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

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. © 2015, Pleiades Publishing, Ltd.