English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Numerical codes based on a direct implementation of the standard ADMformulation of Einstein's equations have generally failed to provide long-termstable and convergent evolutions of black hole spacetimes when excision is usedto remove the singularities. We show that, for the case of a single black holein spherical symmetry, it is possible to circumvent these problems by adding tothe evolution equations terms involving the constraints, thus adjusting thestandard ADM system. We investigate the effect that the choice of the lapse andshift has on the stability properties of numerical simulations and thus on theform of the added constraint term. To facilitate this task, we introduce theconcept of quasi well-posedness, a version of well-posedness suitable forADM-like systems involving second-order spatial derivatives.Comment: 20 pages, 9 figure

Cure for unstable numerical evolutions of single black holes: Adjusting the standard ADM equations in the spherically symmetric case