Testing the general relativistic no-hair theorems using the Galactic center black hole SgrA*

Nov, 2007
5 pages
Published in:
  • Astrophys.J.Lett. 674 (2008) L25-L28
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Abstract: (arXiv)
If a class of stars orbits the central black hole in our galaxy in short period (~ 0.1$ year), high eccentricity (~ 0.9) orbits, they will experience precessions of their orbital planes induced by both relativistic frame-dragging and the quadrupolar gravity of the hole, at levels that could be as large as 10 microarcseconds per year, if the black hole is rotating faster than 1/2 of its critical rotation rate. Astrometric observations of the orbits of at least two such stars can in principle lead to a determination of the angular momentum vector J of the black hole and its quadrupole moment Q_2. This could lead to a test of the general relativistic no-hair theorems, which demand that Q_2 = J^2/M. Future high-precision adaptive infrared optics instruments make make such a fundamental test of the black-hole paradigm possible.