# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### Geometry and Regularity of Moving Punctures

##### External Resource

No external resources are shared

##### Fulltext (public)

0606099v1.pdf

(Preprint), 130KB

prl99_241102.pdf

(Publisher version), 148KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Hannam, M., Husa, S., Pollney, D., Bruegmann, B., & O'Murchadha, N. (2007). Geometry
and Regularity of Moving Punctures.* Physical Review Letters,* *99*(24):
241102. doi:10.1103/PhysRevLett.99.241102.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4753-C

##### Abstract

The puncture method for black holes in numerical relativity has recently been extended to punctures that move across the grid, which has led to significant advances in numerical simulations of black-hole binaries. We examine how and why the method works. The coordinate singularity and hence the geometry at the puncture are found to change during evolution, but sufficient regularity is maintained for the numerics to work. We construct an analytic solution for the stationary state of a black hole in spherical symmetry that matches the numerical result and demonstrates that the numerics are not dominated by artefacts at the puncture but indeed find the analytical result.