Note on the Kerr Spinning-Particle Metric

Abstract

It is shown that by means of a complex coordinate transformation performed on the monopole or Schwarzschild metric one obtains a new metric (first discovered by Kerr). It has been suggested that this metric be interpreted as that arising from a spinning particle. We wish to suggest a more complicated interpretation, namely that the metric has certain characteristics that correspond to a ring of mass that is rotating about its axis of symmetry. The argument for this interpretation comes from three separate places: (1) the metric appears to have the appropriate multipole structure when analyzed in the manner discussed in the previous paper, (2) in a covariantly defined flat space associated with the metric, the Riemann tensor has a circular singularity, (3) there exists a closely analogous solution of Maxwell's equations that has characteristics of a field due to a rotating ring of charge.

Brans-Dicke corrections to the gravitational Sagnac effect

“…Following the procedure of Newman and Janis [24], a two-parameter rotating solution of the above field equations has indeed been found by Krori and Bhattacharjee [25] (7) 5 where λ, C, φ 0 , r 0 are constants, and the first two relate to ϖ as ( )…”

Classical, geometric origin of magnetic moments, spin-angular momentum, and the Dirac gyromagnetic ratio

“…What we are calling the charge, the dipole moments, the mass and angular momentum are the coefficients of the relevant terms in r −1 expansions of the Maxwell and gravitational fields. The structure of the sources has been discussed elsewhere 2,3,4,5,6 .…”

“…The charged Kerr solution (with parameters (m, q, Y ) also has the Dirac gyromagnetic ratio and can be "obtained" from the Schwarzschild solution by a complex translation. 2 In Sec.II, we will write the Maxwell equations in such a way so that the complex interpretation becomes obvious and furthermore show how the real simple Coulomb solution, by a complex translation, can be reinterpreted as having a magnetic moment. In Sec.…”

One-Dimensional Quantum Channel and Hawking Radiation of Kerr and Kerr-Newman Black Holes

“…In this section, we investigate this case by Hawking radiation of a charged particle in the Kerr-Newman black hole [28]. We first focus our attention on the Hawking fluxes of the particle.…”