Multipole moments of isolated horizons

Abhay Ashtekar, Jonathan Engle, Tomasz Pawlowski, Chris Van Den Broeck

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2549-2570
Number of pages22
JournalClassical and Quantum Gravity
Volume21
Issue number11
DOIs
StatePublished - Jun 7 2004

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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