A null-tetrad approach to Kerr-Schild gravitational fields in matter

Journal of Mathematical Physics

Volumn 37, Issue 11, 1996, Pages 5695-5714

  Udeschini, Elisa Brinis ^a   Magli, Giulio ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030501808     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531735     Document Type: Article

References (21)

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3. R. P. Kerr, "Gravitational field of a spinning mass as an example of algebraically special metric," Phys. Rev. Lett. 11, 237, (1963); R. P. Kerr and A. Schild, "Some algebraic degenerate solutions of Einstein's gravitational field equations," Proc. Symp. Appl. Math. 17, 199, (1969).
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8. J. Martin and J. M. M. Senovilla, "Petrov type D perfect-fluid solutions in generalized Kerr-Schild form," J. Math. Phys. 27, 265 (1986); E. Nahmad-Achar. "On generalized Kerr-Schild transformations," J. Math. Phys. 29, 1879 (1988).
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14. We choose relativistic units so that the speed of light and Newton's gravitational constant equal unity.
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16. See, e.g., M. Barriola and A. Vilenkin, "The gravitational field of a global monopole," Phys. Rev. Lett. 63, 341-343 (1989).
17. See also Ref. 12.
18. D. Cox and E. J. Flaherty, Jr., "A conventional proof of Kerr's theorem," Commun. Math. Phys. 47, 75-79 (1976).
19. It is easy to check that (5.4) is, in fact, equivalent to K̂Y = 0, namely, the function Y must belong to the kernel of the operator K.
20. G. F. Torres del Castillo and J. F. Plebański, "Some simple type D solutions to the Einstein equations with sources," J. Math. Phys. 26, 477-481 (1985).
21. M. Gürses and F. Gürsey, "Lorentz covariant treatment of the Kerr-Schild geometry," J. Math. Phys. 16, 2385-2390 (1975).