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arXiv · 1707.02872

Physical properties of a source of the Kerr metric: Bound on the surface gravitational potential and conditions for the fragmentation

L. Herrera·J. L. Hernandez-Pastora
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Abstract

We investigate some important physical aspects of a recently presented interior solution for the Kerr metric. It is shown that, as in the spherically symmetric case, there is a specific limit for the maximal value of the surface potential (degree of compactness), beyond which, unacceptable physical anomalies appear. Such a bound is related to the appearance of negative (repulsive) gravitational acceleration, that is accompanied by the appearance of negative values of the pressure. A detailed discussion on this effect is presented. We also study the possibility of a fragmentation scenario, assuming that the source leaves the equilibrium, and we bring out the differences with the spherically symmetric case.

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L. Herrera, J. L. Hernandez-Pastora. 2017-07-07. Physical properties of a source of the Kerr metric: Bound on the surface gravitational potential and conditions for the fragmentation. https://doi.org/10.1103/physrevd.96.024048

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