Gravitational breather and topological properties of gravisolitons

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that for a wide class of cosmological solutions to the vacuum Einstein equations the notions of gravisolitons and antigravisolitons with respect to some topological charge can be introduced. The presence of attractive forces between two gravitational solitons with charges of opposite signs and repulsive forces between solitons of the same charges is shown. The construction of the gravitational breather as a bound state of the gravisoliton and antigravisoliton is described.

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