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Multipole moments of bumpy black holes | | Sarah J. Vigeland
; | | Date: |
6 Aug 2010 | | Abstract: | General relativity predicts the existence of black holes, compact objects
whose spacetimes depend on only their mass and spin (the famous "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 are black holes with the
"wrong" multipoles, where the deviation from general relativity 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. We also extend our previous results to define bumpy
black holes whose {it current} moments, analogous to magnetic moments of
electrodynamics, deviate from the canonical Kerr value. | | Source: | arXiv, 1008.1278 | | Services: | Forum | Review | PDF | Favorites | |
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