Multipole moments of isolated horizons

By Abhay Ashtekar, Jonathan Engle, T. Pawłowski, C. Broeck. 2004

159 citations recorded by the source corpus.

To every axi-symmetric isolated horizon we associate two sets of numbers, Mn and Jn 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8e6a2416cb18a114bc19ce071a5f32116b11ed87

How researchers see this paper

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In Astronomy and Astrophysics

1. Abhay Ashtekar
2. B. Krishnan
3. V. Hubeny
4. M. Bojowald
5. Alejandro Perez
6. Parampreet Singh
7. J. Lewandowski
8. J. Jaramillo

In Nuclear and High Energy Physics

1. Abhay Ashtekar
2. B. Krishnan
3. M. Bojowald
4. Parampreet Singh
5. V. Hubeny
6. Alejandro Perez
7. G. Galloway
8. E. Wilson-Ewing

In Statistical and Nonlinear Physics

1. Abhay Ashtekar
2. B. Krishnan
3. M. Bojowald
4. Parampreet Singh
5. Alejandro Perez
6. Carlo Rovelli
7. V. Hubeny
8. E. Wilson-Ewing

Citations in the corpus

• Isolated and Dynamical Horizons and Their Applications (2004, methodology): “1 of [22], one can introduce on S a vector field φo , tangential to the foliation, which has the property that it agrees with the symmetry vector field φ whenever the horizon geometry admits a symmetry.”