2010

Conservative corrections to the innermost stable circular orbit (ISCO) of a Kerr black hole: a new gauge-invariant post-Newtonian ISCO condition, and the ISCO shift due to test-particle spin and the gravitational self-force

Favata, Marc

Understand

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole.

In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes.
In the finite-mass case, there are a large variety of ways to define an ISCO in a post-Newtonian (PN) context.
Here I generalize the gauge-invariant ISCO condition of Blanchet & Iyer (2003) to the case of spinning (nonprecessing) binaries.

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