Abstract
Any stationary, asymptotically flat solution to Einstein's equation is shown to asymptotically approach the Kerr solution in a precise sense. As an application of this result we prove a technical lemma on the existence of harmonic coordinates near infinity.
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References
Beig, R. (1980).Gen. Rel. Grav.,12, 439.
Geroch, R. (1970).J. Math. Phys.,11, 2580.
Hansen, R. O. (1974).J. Math. Phys.,15, 46.
Hoenselaers, C. (1976).Prog. Theor. Phys.,55, 466.
Misner, C. W., Thorne, K., and Wheeler, J. A. (1973).Gravitation, Freeman, San Francisco, p. 452.
Landau, L. D., and Lifschitz, E. M. (1961).The Classical Theory of Fields, Addison Wesley, p. 326.
Xanthopoulos, B. C. (1979).J. Phys. A,12, 1025.
Geroch, R. (1971).J. Math. Phys.,12, 918.
Choquet-Bruhat, Y., and Christodoulou, D., to be published.
Dowker, J. S. (1974).Gen. Rel. Grav.,5, 603.
Hopf, E. (1931).Math. Z.,34, 194.
Meyers, M. (1963).J. Math. Mech.,12, 247.
Ashtekar, A. (1980). In theGRG Einstein Commemorative Volume, Ed. Held, A., Plenum, New York.
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Beig, R., Simon, W. The stationary gravitational field near spatial infinity. Gen Relat Gravit 12, 1003–1013 (1980). https://doi.org/10.1007/BF00768926
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DOI: https://doi.org/10.1007/BF00768926