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A note onD(k, 0) Killing spinors

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The equations for theD(k, 0) Killing spinor fields are integrated assuming that the left conformal curvature does not vanish and that eitherk ≠ 2, 4, 6, ..., or the Einstein vacuum field equations are satisfied.

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References

  1. Walker, M., Penrose, R.: On quadratic first integrals of the geodesic equations for type {22} spacetimes. Commun. Math. Phys.18, 265–274 (1970)

    Google Scholar 

  2. Hughston, L.P., Penrose, R., Sommers, P., Walker, M.: On a quadratic first integral for the charged particle orbits in the charged Kerr solution. Commun. Math. Phys.27, 303–308 (1972)

    Google Scholar 

  3. Hacyan, S., Plebañski, J.F.: Some basic properties of Killing spinors. J. Math. Phys.17, 2203–2206 (1976)

    Google Scholar 

  4. Finley III., J.D., Plebañski, J.F.: Killing vectors in planeHH spaces. J. Math. Phys.19, 760–766 (1978)

    Google Scholar 

  5. Plebañski, J.F.: Some solutions of complex Einstein equations. J. Math. Phys.16, 2395–2402 (1975)

    Google Scholar 

  6. Plebañski, J.F., Hacyan, S.: Null geodesic surfaces and Goldberg-Sachs theorem in complex Riemannian spaces. J. Math. Phys.16, 2403–2407 (1975)

    Google Scholar 

  7. Torres del Castillo, G.F.: Null strings and Bianchi identities. J. Math. Phys.24, 590–596 (1983)

    Google Scholar 

  8. Finley III., J.D., Plebañski, J.F.: The intrinsic spinorial structure of hyperheavens. J. Math. Phys.17, 2207–2214 (1976)

    Google Scholar 

  9. Hughston, L.P., Sommers, P.: The symmetries of Kerr black holes. Commun. Math. Phys.33, 129–133 (1973)

    Google Scholar 

  10. Hacyan, S., Plebañski, J.F.:D(1, 0) Killing structures and ℰ potentials. J. Math. Phys.18, 1517–1519 (1977)

    Google Scholar 

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Communicated by S.-T. Yau

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Torres del Castillo, G.F. A note onD(k, 0) Killing spinors. Commun.Math. Phys. 92, 485–490 (1984). https://doi.org/10.1007/BF01215279

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  • DOI: https://doi.org/10.1007/BF01215279

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