Computation of Moments of Rotating Collapsed Objects in Alternate Theories of Gravity

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The main parameters describing the gravitational-wave chirp signal from the inspiral of a large mass ratio, unequal-mass binary can be expressed in terms of the moments of the more massive object. These moments have already been computed for black holes and various neutron-star models in general relativity (GR). In GR, the higher moments of a rotating black hole (described by the Kerr metric) are fixed by the mass and the angular momentum. As pointed out by Ryan (Phys. Rev. D 52, 5707, 1995), this allows one to test whether a collapsed object is a black hole or not, and thus test one of the predictions of GR. In the planned gravitational wave satellite experiment LISA, it is anticipated that the first three moments may be measured with sufficient precision to test GR. We report calculations of the corresponding moments for rotating compact or collapsed objects in alternate theories of gravity.

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