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Cited by 1,111Relativity and Gravitational TheoryAdvanced Differential Geometry ResearchGeometric Analysis and Curvature Flows

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations

Carter, Brandon·1968·Communications in Mathematical Physics
DOI 10.1007/bf03399503
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14 of 14 references verified0 citation errors · 0 not checkable

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  • Solutions of wave equations in charged Kerr can be separated into a factor eiωu or eiωv times e−imφ times a function of r and θ; the scalar wave equation is separable, and neutrino, electromagnetic and linearised gravitational fields in the uncharged rotating case are completely separable.

    “As these solutions are stationary and axisymmetric, one can separate solutions of the wave equations in them into a factor eiωu or eiωv times e− imφ times a function of r and θ.”

    From Particle creation by black holes (1975) · cites this paper as [26]

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Authors
Carter, B.
Affiliations
University of Cambridge (GB)
Corresponding author
Carter, Brandon
ORCID
Carter, Brandon
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
1968-12
Volume
10
Issue
4
Pages
280-310
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/bf03399503
OpenAlex
W2145207548
Cited by
1,111
References
14
Citations by year
2026: 48 · 2025: 46 · 2024: 39 · 2023: 30 · 2022: 42 · 2021: 54 · 2020: 36 · 2019: 73 · 2018: 45 · 2017: 51 · 2016: 42 · 2015: 53 · 2014: 44 · 2013: 27 · 2012: 43
FWCI
1.51
Type
journal article
Language
en
Open access
closed
Locations
  • Communications in Mathematical Physics (publishedVersion)
  • Project Euclid (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
  • Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
Keywords
separable solutions, Hamilton-Jacobi equation, Schrödinger equation, vacuum Einstein equations, Einstein-Maxwell equations, cosmological constant, geodesics, de Sitter space, Kasner solutions, Taub-NUT solution, Kerr metric, exact solutions of Einstein field equations

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