N.S.B. Cosmic Center

NSBL-RT-016 Metrical Model of a Star with Thermal Profile

Abstract
We consider the extension of the Schwarzschild metric to a counterpart that can describe an extended spherically symmetric stellar body with acceptable density distribution, and with a thermal profile. With a length parameter, apart from the Schwarzschild radius, the proposed metric can fit the values of density, pressure, and temperature, at the stellar surface, and give a complete profile down to the core. Such a metric extension seems to describe a central core with an ``energy-producing, explosive core'', as well as an in flationary ``coronal windy layer'', two regions where the mean pressure seems to acquire negative magnitudes. Our illustrative computations and graphical illustrations refer to the sun as a reference example. We discuss the Schwarzschild limit of such metrical model. We also discuss the interior gravitational potential and its repulsive central core.

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