Massive graviton in Minkowski and de Sitter space-time

A. V. Hradyskiy V.N. Karazin Kharkiv National University, 4 Svobody Square, Kharkiv, 61022, Ukraine
Yu. P. Stepanovsky V.N. Karazin Kharkiv National University, 4 Svobody Square, Kharkiv, 61022, Ukraine;National Science Center “Kharkov Institute of Physics and Technology”, Akademichna Street 1, Kharkiv, 61108, Ukraine

Keywords: gravitational waves, graviton, de Sitter, helicity, massless particle

Abstract

The direct observation of gravitational waves in 2015 has drawn attention to a problem on existence of graviton mass. In the case of Minkowski space-time it is considered to be that the 2S + 1 linearly independent states of polarization of a relativistic massive particle are reduced to two states with helicities ±S (that is with projections of spin ±S on a direction of movement of a particle). The inaccuracy of this opinion is shown in the case of massive graviton, the special case of particles with spin 2. Also properties of a gravitational wave in the de Sitter space-time which represents good approach model of a modern state of our extending with acceleration Universe are analysed.

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