caa a22 4500 467887470 CHVBK 20180406152738.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10714-006-0252-y doi (NATIONALLICENCE)springer-10.1007/s10714-006-0252-y Berger Beverly National Science Foundation, Physics Division, 22207, Arlington, VA, USA aut Why solve the Hamiltonian constraint in numerical relativity? [Elektronische Daten] [Beverly Berger] The indefinite sign of the Hamiltonian constraint means that solutions to Einstein's equations must achieve a delicate balance - often among numerically large terms that nearly cancel. If numerical errors cause a violation of the Hamiltonian constraint, the failure of the delicate balance could lead to qualitatively wrong behavior rather than just decreased accuracy. This issue is different from instabilities caused by constraint-violating modes. Examples of stable numerical simulations of collapsing cosmological spacetimes exhibiting local mixmaster dynamics with and without Hamiltonian constraint enforcement are presented. Springer-Verlag, 2006 Cauchy problem nationallicence Cosmology nationallicence General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/4(2006-04-01), 625-632 0001-7701 38:4<625 2006 38 10714 https://doi.org/10.1007/s10714-006-0252-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0252-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Berger Beverly National Science Foundation, Physics Division, 22207, Arlington, VA, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/4(2006-04-01), 625-632 0001-7701 38:4<625 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer