Testing the general relativistic ``no-hair'' theorems using the galactic center black hole SgrA*

Physics – Optics

Scientific paper

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Scientific paper

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 μarcseconds per year, if the black hole is rotating faster than 1/2 of its maximum 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 Q2. This could lead to a test of the general relativistic no-hair theorems, which demand that Q2= - J^2/M. Future high-precision adaptive infrared optics instruments may make such a fundamental test of the black-hole paradigm possible.

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