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Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions

Bičák, Jiřı́, Podolský, Jiřı́·1999·Journal of Mathematical Physics
DOI 10.1063/1.532981
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Abstract

All nontwisting Petrov-type N solutions of vacuum Einstein field equations with cosmological constant Λ are summarized. They are shown to belong either to the nonexpanding Kundt class or to the expanding Robinson–Trautman class. Invariant subclasses of each class are defined and the corresponding metrics are given explicitly in suitable canonical coordinates. Relations between the subclasses and their geometrical properties are analyzed. In the subsequent paper these solutions are interpreted as exact gravitational waves propagating in de Sitter or anti-de Sitter spacetimes.

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Research works printed but not linked: 13

  1. 1981, All nontwisting N’s with cosmological constant, J. Math. Phys., 22, 2655, 10.1063/1.524843 · DOI
  2. 1983, Symmetries of the nontwisting type-N solutions with cosmological constant, J. Math. Phys., 24, 2191, 10.1063/1.525930 · DOI
  3. 1985, Plane-fronted gravitational and electromagnetic waves in spaces with cosmological constant, J. Math. Phys., 26, 1755, 10.1063/1.526887 · DOI · Paper page
  4. 1962, Le tenseur de Weyl et une congruence associée de géodésiques isotropes sans distortion, C. R. Acad. Sci. (Paris), Ser. A, 254, 4257
  5. 1961, The plane-fronted gravitational waves, Z. Phys., 163, 77, 10.1007/BF01328918 · DOI · Paper page
  6. 1960, Spherical gravitational waves, Phys. Rev. Lett., 4, 431, 10.1103/PhysRevLett.4.431 · DOI
  7. 1983, The generalizes Kundt solution with cosmological constant, Nuovo Cimento B, 78, 255, 10.1007/BF02721101 · DOI
  8. 1998, Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe, Class. Quantum Grav., 15, 719, 10.1088/0264-9381/15/3/019 · DOI · Paper page
  9. 1998, Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure, Class. Quantum Grav., 15, 453, 10.1088/0264-9381/15/2/018 · DOI · Paper page
  10. 1998, Non-expanding impulsive gravitational waves, Class. Quantum Grav., 15, 3229, 10.1088/0264-9381/15/10/023 · DOI
  11. 1967, Null tetrad approach to motions in empty space–time, J. Math. Phys., 8, 701, 10.1063/1.1705267 · DOI
  12. 1989, Homogeneous and conformally Ricci flat pure radiation fields, Class. Quantum Grav., 6, 1243, 10.1088/0264-9381/6/9/009 · DOI
  13. 1975, Conformally flat solutions of the Einstein–Maxwell equations for null electromagnetic fields, J. Math. Phys., 16, 829, 10.1063/1.522612 · DOI · Paper page

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Metadata

Authors
Bičák, J., & Podolský, J.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1999-09-01
Volume
40
Issue
9
Pages
4495-4505
ISSN
  • 0022-2488
  • 1089-7658
DOI
10.1063/1.532981
Cited by
73
References
0
Language
en

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CoChat. (2026). Citation check: Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions. https://app.cochat.ai/papers/10.1063/1.532981
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Bičák, J., & Podolský, J. (1999). Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions. Journal of Mathematical Physics. https://doi.org/10.1063/1.532981

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