Multipole moments of isolated horizons

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

Research output: Contribution to journalArticle

84 Citations (Scopus)

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

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multipoles
horizon
moments
relativity
equations of motion
angular momentum
gravitation
momentum
geometry

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Ashtekar, Abhay ; Engle, Jonathan ; Pawlowski, Tomasz ; Van Den Broeck, Chris. / Multipole moments of isolated horizons. In: Classical and Quantum Gravity. 2004 ; Vol. 21, No. 11. pp. 2549-2570.
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Ashtekar, A, Engle, J, Pawlowski, T & Van Den Broeck, C 2004, 'Multipole moments of isolated horizons', Classical and Quantum Gravity, vol. 21, no. 11, pp. 2549-2570. https://doi.org/10.1088/0264-9381/21/11/003

Multipole moments of isolated horizons. / Ashtekar, Abhay; Engle, Jonathan; Pawlowski, Tomasz; Van Den Broeck, Chris.

In: Classical and Quantum Gravity, Vol. 21, No. 11, 07.06.2004, p. 2549-2570.

Research output: Contribution to journalArticle

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