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Maximal Analytic Extension of the Kerr Metric

Boyer, Robert H., Lindquist, Richard W.·1967·Journal of Mathematical Physics
DOI 10.1063/1.1705193
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Abstract

Kruskal's transformation of the Schwarzschild metric is generalized to apply to the stationary, axially symmetric vacuum solution of Kerr, and is used to construct a maximal analytic extension of the latter. In the low angular momentum case, a2 < m2, this extension consists of an infinite sequence Einstein-Rosen bridges joined in time by successive pairs of horizons. The number of distinct asymptotically flat sheets in the extended space can be reduced to four by making suitable identifications. Several properties of the Kerr metric, including the behavior of geodesics lying in the equatorial plane, are examined in some detail. Completeness is demonstrated explicitly for a special class of geodesics, and inferred for all those that do not strike the ring singularity.

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Metadata

Authors
Boyer, R. H., & Lindquist, R. W.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1967-02-01
Volume
8
Issue
2
Pages
265-281
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
DOI
10.1063/1.1705193
OpenAlex
W1970662820
Cited by
1,064
References
0
FWCI
9.59
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Maximal Analytic Extension of the Kerr Metric. https://app.cochat.ai/papers/10.1063/1.1705193
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Boyer, R. H., & Lindquist, R. W. (1967). Maximal Analytic Extension of the Kerr Metric. Journal of Mathematical Physics. https://doi.org/10.1063/1.1705193

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.