Physical interpretation of Newman-Janis rotating systems. II. General systems

Abstract

Drake and Szekeres have extended the Newman-Janis algorithm to produce stationary axisymmetric spacetimes from general static spherically symmetric solutions of the Einstein equations. The algorithm mathematically generates an energy-momentum tensor for the rotating solution, but the rotating and nonrotating system may or may not represent the same physical system, in the sense of both being a perfect fluid, or an electromagnetic field, or a $\Lambda$-term, and so on. In Part I (arxiv:2104.02255), we compared the structure of the eigenvalues and eigenvectors of the rotating and nonrotating energy-momentum tensors (their Segre types) and looked for the existence of equations of state relating the rotating energy density and principal pressures for Kerr-Schild systems. Here we extend our analysis to general static spherically symmetric systems obtained according to the Drake-Szekeres generalization of the Newman-Janis algorithm. We find that these rotating systems can have almost all Segre types except [31] and [(31)]. Moreover, the Segre type of the spacetime can change severely in passing from the nonrotating to the rotating configurations, for example to $[11Z\bar{Z}]$ from seed systems which were initially [(111,1)]. We also find conditions dictating how many equations of state may exist in a Drake-Szekeres system.

Replaced with updated version, published at Phys. Rev. D 104, 124067 (2021)

References in corpus (7)

• Rotating regular black holes
• How to tell a gravastar from a black hole
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• Spinning superconducting electrovacuum soliton
• Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
• Physical interpretation of Newman-Janis rotating systems. I. A unique family of Kerr-Schild systems
• Extended Newman-Janis algorithm for rotating and Kerr-Newman de Sitter and anti de Sitter metrics

Cited by in corpus (6)

• Shadows of rotating Einstein-Maxwell-dilaton black holes surrounded by a plasma
• New rotating Lorentzian wormhole spacetime
• Geometric properties of slowly rotating black holes embedded in matter environments
• An obstruction and residual-completion theory for Newman--Janis deformations
• Slowly rotating covariant anisotropic objects
• Newman-Janis Algorithm from Taub-NUT Instantons