Testing the General Relativistic “No-Hair” Theorems Using the Galactic Center Black Hole Sagittarius A*

@article{Will2008TestingTG,
  title={Testing the General Relativistic “No-Hair” Theorems Using the Galactic Center Black Hole Sagittarius A*},
  author={Clifford M. Will},
  journal={The Astrophysical Journal Letters},
  year={2008},
  volume={674},
  pages={L25 - L28}
}
  • C. Will
  • Published 11 November 2007
  • Physics
  • The Astrophysical Journal Letters
If a class of stars orbits the central black hole in our galaxy in short-period (~0.1 yr), 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 μas per year, if the black hole is rotating faster than half of its maximum rotation rate. Astrometric observations of the orbits of at least two such stars can in principle lead to a… 
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References

SHOWING 1-10 OF 24 REFERENCES
Black hole spectroscopy: Testing general relativity through gravitational wave observations
Assuming that general relativity is the correct theory of gravity in the strong-field limit, can gravitational-wave observations distinguish between black holes and other compact object sources?
Mapping spacetimes with LISA: inspiral of a test body in a ‘quasi-Kerr’ field
The future LISA detector will constitute the prime instrument for high-precision gravitational wave observations. Among other goals, LISA is expected to materialize a ‘spacetime-mapping’ program that
Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr–de Sitter black hole spacetimes
The exact solution for the motion of a test particle in a non-spherical polar orbit around a Kerr black hole is derived. Exact novel expressions for frame dragging (Lense–Thirring effect), periapsis
Periastron shifts of stellar orbits near the Galactic Center
The presence of a $2.9\pm0.4$ million solar mass object in the central stellar cluster of the Milky Way has recently been demonstrated via measurements of the stellar proper motions and radial
Gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
Newly formed black holes are expected to emit characteristic radiation in the form of quasinormal modes, called ringdown waves, with discrete frequencies. LISA should be able to detect the ringdown
Frame Dragging and Other Precessional Effects in Black Hole Pulsar Binaries
For radio pulsars in orbit with a compact companion, pulsar timing observations have proved to be a powerful tool for identifying the physical nature of the companion. Unfortunately, perhaps the most
Probing post-newtonian physics near the galactic black hole with stellar redshift measurements
Stars very close to the massive black hole (MBH) in the center of the Galaxy allow us to probe post-Newtonian (PN) physics in a yet unexplored regime of celestial mechanics. Recent advances in
Reconstruction of Stellar Orbits Close to Sagittarius A
We have reconstructed possible orbits for a collection of stars located within 0.″5 of Sgr A*. These orbits are constrained by observed stellar positions and angular proper motions. The construction
Theory and Experiment in Gravitational Physics
New technological advances have made it feasible to conduct measurements with precision levels which are suitable for experimental tests of the theory of general relativity. This book has been
Theory and Experiment in Gravitational Physics
Clifford M Will 1985 Cambridge: Cambridge University Press ix + 342 pp price £15 (paperback) ISBN 0 521 31710 X Researchers entering the general area of gravitation and cosmology for the first time
...
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