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

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.

10 pages, 6 figures. Some typos corrected. Published in PRD. arXiv admin note: text overlap with arXiv:1701.02098

References in corpus (4)

• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• The role of pressure anisotropy on the maximum mass of cold compact stars
• Sharp bounds on 2m/r for static spherical objects
• Interior solution for the Kerr metric

Cited by in corpus (2)

• An algorithm to generate anisotropic rotating fluids with vanishing viscosity
• Regular Interior Solutions to the Solution of Kerr which Satisfy the Weak and the Strong Energy Conditions