Expanding and superdense astrophysical systems in general relativistic hierarchical cosmology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Density Distribution, Hierarchies, Relativity, Universe, Einstein Equations, Equations Of Motion, Hubble Diagram, Maxwell-Boltzmann Density Function, Schwarzschild Metric

Scientific paper

The work is an attempt to apply Einstein's field equations in the tractable form given by Podurets (1964) and Misner and Sharp (1964) for a spherically symmetric continuous medium, to superdense bodies and hierarchical continuous cosmology. A central question examined is the conditions under which the step-like density profile of a practical hierarchy can be approximated by a smooth function. It is shown that the notion of a semicontinuous hierarchy would not look asymmetric and anisotropic to an observer on the edge of a given system. The discussion considers the application of the Einstein field equations to an extended cosmological medium, showing how the Hubble parameter is defined, how a finite but very small intergalactic pressure is unavoidable, and what time scales and mass-loss rates are expected in the hierarchy. The metric coefficients for any superdense body are derived and applied to determine the baryon number of a superdense object. The dynamical behavior of a superdense body leads to predictions of energy-loss rates and luminosity.

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