- Access by Xinjiang University
Source of the Kerr Metric
Phys. Rev. D 2, 641 – Published 15 August, 1970
DOI: https://doi.org/10.1103/PhysRevD.2.641
Abstract
Assuming that the Kerr-Newman metric is the field of a layer of mass and charge distributed over the equatorial disk spanning the ring singularity, the source distribution on the disk is computed explicitly. In the uncharged case, this interpretation automatically excises the noncausal parts of the manifold, so that one obtains the unique source of the causally maximal extension of the vacuum metric. A Newtonian field which gives the same source distribution is exhibited, and shown to be closely analogous to the relativistic case. In particular, the Newtonian particle orbits show the same avoidance of the ring singularity that is such a remarkable feature of geodesics in the Kerr geometry. In the charged case, we examine how the gyromagnetic moment (which is equal to that of the Dirac electron) is reflected in the character of the source distribution.
References (29)
- B. Carter, Phys. Rev. 174, 1559 (1968)
- K. S. Thorne, in Proceedings of the International School of Physics "Enrico Fermi" (Academic, New York, to be published)
- J. M. Bardeen, Nature 226, 64 (1970)
- V. L. Ginzburg and L. M. Ozernoi, Zh. Eksperim. i Teor. Fiz. 47, 1030 (1964) [Soviet Phys. JETP 20, 689 (1965)] A. G. Doroshkevich, Ya. B. Zel'dovich, and I. D. Novikov, Zh. Eksperim i Teor. Fiz. 49, 170 (1965) [Soviet Phys. JETP 22, 122 (1966)] W. Israel, Commun. Math. Phys. 8, 245 (1968)
- V. de la Cruz, J. E. Chase, and W. Israel, Phys. Rev. Letters 24, 423 (1970)
- E. T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash, and R. Torrence, J. Math. Phys. 6, 918 (1965)
- V. de la Cruz and W. Israel, Phys. Rev. 170, 1187 (1968), [15]
- K. S. Thorne, 1968 (unpublished)
- W. Israel, in Proceedings of the Berne Seminar on the Bearings of Topology upon General Relativity, Gravitation et Relatité Generale, Vol. 1, No. 3 (to be published)
- R. P. Kerr, Phys. Rev. Letters 11, 237 (1963) ([6])
- R. H. Boyer and R. W. Lindquist, J. Math. Phys. 8, 265 (1967)
- R. P. Kerr, in Quasistellar Sources and Gravitational Collapse, edited by I. Robinson, A. Schild, and E. L. Schucking (Chicago U. P., Chicago, 1965), p. 99
Omitted endnote
- B. Carter, Phys. Rev. 141, 1242 (1966) R. L. Gautreau, Nuovo Cimento 50A, 120 (1967)
- [1]
- W. C. Hernandez, Phys. Rev. 159, 1070 (1967) ibid.166, 1263 (1968)
- R. H. Boyer, Proc. Cambridge Phil. Soc. 61, 527 (1965) ibid.62, 495 (1966) M. Trümper, Z. Naturforsch. 22a, 1347 (1967)
- J. M. Cohen, J. Math. Phys. 8, 1477 (1967)
- E. T. Newman and A. I. Janis, J. Math. Phys. 6, 915 (1965)
- [16] (1968)
- C. Lanczos, Ann. Physik 74, 518 (1924) W. Israel, Nuovo Cimento 44B, 1 (1966) ibid.48B, 463 (1967) A Papapetrou and A. Hamoui, Ann. Inst. Henri Poincaré 9, 179 (1968)
- W. B. Bonnor and A. Sackfield [Commun. Math. Phys. 8, 338 (1968)]
Omitted endnote
- F. J. Ernst, Phys. Rev. 168, 1415 (1968) Sec. II [1]
- J. M. Cohen, J. Math. Phys. 9, 905 (1968)
Omitted endnote
- J. L. Synge, Relativity, The General Theory (North-Holland, Amsterdam, 1960), p. 35
- G. C. Debney, R. P. Kerr, and A. Schild, J. Math. Phys. 10, 1842 (1969)
- H. Keres, Zh. Eksperim. i Teor. Fiz. 52, 768 (1967) [Soviet Phys. JETP 25, 504 (1967)]