English

Another Kerr interior solution

General Relativity and Quantum Cosmology 2017-07-04 v3

Abstract

A stationary axially symmetric solution describing a rotating anisotropic source for Einstein Field Equations(EFE) is proposed which matches to the exterior Kerr metric. The anisotropic source satisfies all energy conditions - weak, strong, and dominant energy condition - for a wide range of metric's free parameters values. The resultant energy-momentum tensor components, and consequently energy density and pressure profiles, redshift function and angular velocity are singularity free and behave as expected. As rotation parameter goes to zero a spherical source consisting of normal and exotic matter is retrieved for the exterior Schwarzschild solution; the corresponding redshift function, however, is well-behaved and positive definite. This is the first solution of its kind.

Keywords

Cite

@article{arxiv.1705.00584,
  title  = {Another Kerr interior solution},
  author = {F. Z. Majidi},
  journal= {arXiv preprint arXiv:1705.00584},
  year   = {2017}
}

Comments

14 pages, 3 figures, 2 tables