On the formation of homogeneous expansion of a relativistic gravitating gas.

Mathematics – Logic

Scientific paper

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Cosmological Models: Expansion

Scientific paper

Within the framework of general relativity, the possibility of the formation of homogeneous spherically-symmetric hyperbolic expansion of a gravitating gas due to previous parabolic compression of a cold rarefied medium (dust) is studied. A variable detonation energy release on the shock wave is taken into account, and the necessary transition of part of the rest energy of dust into the thermal energy of the expanding gas is also considered. An arbitrary equation of state of the gas under constant entropy is investigated. Application of this model to the observable expansion of the Metagalaxy indicates the necessity of considering a relatively big energy release, for example, annihilation. At the same time, for moderate energy release the results can also be applied to the model computations of inhomogeneous gravitational collapse of smaller masses.

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