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  A new method to compute quasi-local spin and other invariants on marginally trapped surfaces

Jasiulek, M. (2009). A new method to compute quasi-local spin and other invariants on marginally trapped surfaces. Classical and quantum gravity, 26(24): 245008. doi:10.1088/0264-9381/26/24/245008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6084-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6089-C
Genre: Journal Article

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Jasiulek, Michael1, Author              
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We accurately compute the scalar 2-curvature, the Weyl scalars, associated quasi-local spin, mass and higher multipole moments on marginally trapped surfaces in numerical 3+1 simulations. To determine the quasi-local quantities we introduce a new method which requires a set of invariant surface integrals, allowing for surface grids of a few hundred points only. The new technique circumvents solving the Killing equation and is also an alternative to approximate Killing vector fields. We apply the method to a perturbed black hole ringing down to Kerr and compare the quasi-local spin with other methods that use Killing vector fields, coordinate vector fields, quasinormal ringing and properties of the Kerr metric on the surface. It even agrees with the spin of approximate Killing vector fields during the phase of perturbed axisymmetry. Additionally, we introduce a new coordinate transformation, adapting spherical coordinates to any two points on the sphere like the two minima of the scalar 2-curvature on axisymmetric trapped surfaces.

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 Dates: 20102009
 Publication Status: Published in print
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 Identifiers: DOI: 10.1088/0264-9381/26/24/245008
arXiv: 0906.1228
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 26 (24) Sequence Number: 245008 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1