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2010

Multipole moments of bumpy black holes

Vigeland, Sarah J.

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General relativity predicts the existence of black holes, compact objects whose spacetimes depend on only their mass, spin, and charge in vacuum (the "no hair" theorem).

As various observations probe deeper into the strong fields of black hole candidates, it is becoming possible to test this prediction.
Previous work suggested that such tests can be performed by measuring whether the multipolar structure of black hole candidates has the form that general relativity demands, and introduced a family of "bumpy black hole" spacetimes to be used for making these measurements.
These spacetimes have generalized multipoles, where the deviation from the Kerr metric depends on the spacetime's "bumpiness." In this paper, we show how to compute the Geroch-Hansen moments of a bumpy black hole, demonstrating that there is a clean mapping between the deviations used in the bumpy black hole formalism and the Geroch-Hansen moments.

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Built on

E. T. Newman and A. I. Janis, J. Math. Phys. 6
1965
Earlier work this paper cites.
F. J. Ernst, Phys. Rev. 167
1968
Earlier work this paper cites.
R. Geroch, J. Math. Phys. 11
1970
Earlier work this paper cites.
R. Geroch, J. Math. Phys. 12
1971
Earlier work this paper cites.
R. O. Hansen, J. Math. Phys. 15
1974
Earlier work this paper cites.
W. Israel, Phys. Rev. 164
1975
Earlier work this paper cites.

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