Multipole Moments of Isolated Horizons

Details Multipole Moments of Isolated Horizons Multipole Moments of Isolated Horizons

2004-01-28

arxiv.org/abs/gr-qc/0401114v2

Class.Quant.Grav. 21 (2004) 2549-2570

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 1 figure. Minor typos corrected, reference added

Scientific paper

10.1088/0264-9381/21/11/003

To every axi-symmetric isolated horizon we associate two sets of numbers, $M_n$ and $J_n$ with $n = 0, 1, 2, ...$, representing its mass and angular momentum multipoles. They provide a diffeomorphism invariant characterization of the horizon geometry. Physically, they can be thought of as the `source multipoles' of black holes in equilibrium. These structures have a variety of potential applications ranging from equations of motion of black holes and numerical relativity to quantum gravity.

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