Numerical investigations of the asymptotics of solutions to the evolutionary form of the constraints

Autor: Csukás, Károly, Rácz, István
Rok vydání: 2019
Předmět:
Zdroj: K\'aroly Csuk\'as and Istv\'an R\'acz 2020 Class. Quantum Grav. 37 155006
Druh dokumentu: Working Paper
DOI: 10.1088/1361-6382/ab8fce
Popis: Systematic numerical investigations of the asymptotics of near Schwarzschild vacuum initial data sets is carried out by inspecting solutions to the parabolic-hyperbolic and to the algebraic-hyperbolic forms of the constraints, respectively. One of our most important findings is that the concept of near Schwarzschild configurations, applied previously in [4, 5], is far too restrictive. It is demonstrated that by relaxing the conditions on the freely specifiable part of the data a more appropriate notion of near Schwarzschild initial data configurations can be defined which allows us to generate asymptotically flat initial data configurations.
Comment: 42 page, 12 figures
Databáze: arXiv