According to an article on New Scientist there might be a "naked singularity" at the center of our Galaxy which might emit gravitational waves. See:
naked
If I remember well, in the Sixties prof. J.Weber, using a resonant mass detector, had said he might have detected a GW signal coming from the galactic center. Was he right?
Tullio
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Naked singularity
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Intresting, It apears to be a black hole that is not black;)
http://en.wikipedia.org/wiki/Naked_singularity
But how should naked
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But how should naked singularities emit gravitational waves? If I remember correctly perfect solids of revolution (e.g. points, spheres, rings) that rotate around their symmetry axes do not emit GWs.
RE: But how should naked
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The New Scientist article hints at quantum gravity effects, but does not expand the subject, so I really do not know.
RE: RE: But how should
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I would presume that the operation of standard quantum theory would create significant enough imperfections in the rotating mass to create measurable gravity waves. At the margins of such a large rotating mass the speed and mass of the imperfections caused by quantum uncertainty should be significant enough to create waves measurable from Earth.
But without a lot of a priori information about the rotating mass (speed, for instance) it would be very difficult to decide that some particular signal was being emitted by that particular target in space.
But in my opinion, there are too many unknowns right now for us to hope to be able to sort out such an observation from the Einstein data.