No new symmetries of the vacuum Einstein equations

Riccardo Capovilla

doi:10.1103/PhysRevD.49.879

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No new symmetries of the vacuum Einstein equations

Riccardo Capovilla^*

Departamento de Fisica, Centro de Investigación y de Estudios Avanzados, Instituto Politécnico Nacional, Apartado Postal 14-740, 07000 Mexico D.F., Mexico

^*Electronic address: capo@fis.cinvestar.mx

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Phys. Rev. D 49, 879 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.879

Abstract

We examine some recently proposed solutions of the linearized vacuum Einstein equations. We show that such solutions are not symmetries of the Einstein equations, because of a crucial integrability condition.

References (7)

C. Torre and I. M. Anderson, Phys. Rev. Lett. 70, 3525 (1993)
M. Gürses, Phys. Rev. Lett. 70, 367 (1993)
I. Hauser and F. Ernst, Phys. Rev. Lett. 71, 316 (1993)
F. Ernst and I. Hauser, J. Math. Phys. (to be published)
R. Penrose and W. Rindler, Spinors and Spacetime (Cambridge University Press, Cambridge, England, 1984), Vols. 1 and 2
J. Plebański, "Spinors, Tetrads, and Forms," CINVESTAV-IPN report, 1974 (unpublished), Vol. 1
H. Pagels, Phys. Rev. D 29, 1690 (1984)

[c1] C. Torre and I. M. Anderson, Phys. Rev. Lett. 70, 3525 (1993)

[c2] M. Gürses, Phys. Rev. Lett. 70, 367 (1993)

[c3] I. Hauser and F. Ernst, Phys. Rev. Lett. 71, 316 (1993)

[c4] F. Ernst and I. Hauser, J. Math. Phys. (to be published)

[c5] R. Penrose and W. Rindler, Spinors and Spacetime (Cambridge University Press, Cambridge, England, 1984), Vols. 1 and 2

[c6] J. Plebański, "Spinors, Tetrads, and Forms," CINVESTAV-IPN report, 1974 (unpublished), Vol. 1

[c7] H. Pagels, Phys. Rev. D 29, 1690 (1984)

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No new symmetries of the vacuum Einstein equations

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References (7)

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