Numerical investigations of the asymptotics of solutions to the evolutionary form of the constraints
Autor: | Csukás, Károly, Rácz, István |
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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 |
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