Multipole moments of isolated horizons

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

doi:10.1088/0264-9381/21/11/003

Multipole moments of isolated horizons

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

Research output: Contribution to journal › Article › peer-review

112 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2549-2570
Number of pages	22
Journal	Classical and Quantum Gravity
Volume	21
Issue number	11
DOIs	https://doi.org/10.1088/0264-9381/21/11/003
State	Published - Jun 7 2004

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/21/11/003

Cite this

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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.",

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AU - Van Den Broeck, Chris

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Y1 - 2004/6/7

N2 - 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.

AB - 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.

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ER -

Multipole moments of isolated horizons

Abstract

All Science Journal Classification (ASJC) codes

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