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Abstract: We establish a new model, which takes into account a dynamic inertialself-interaction of gravitating systems. The model is formulated byintroduction of a new function depending on the square of the covariantderivative of the velocity four-vector of the system as a whole into theLagrangian. This term is meant for description of both self-action of thesystem irregularly moving in the gravitational field, and back-reaction of themotion irregularities on the gravity field. We discuss one example of exactsolution to the extended master equations in the framework of cosmologicalmodel of the FLRW type with vanishing cosmological constant. It is shown thataccelerated expansion of the Universe can be driven by traditional matter withpositive pressure e.g., dust, ultrarelativistic fluid due to theback-reaction of the gravity field induced by irregular motion of the system asa whole; this back-reaction is shown to be characterized by the negativeeffective pressure.



Author: A.B. Balakin, H. Dehnen

Source: https://arxiv.org/







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