caa a22 4500 445386762 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10714-011-1202-x doi (NATIONALLICENCE)springer-10.1007/s10714-011-1202-x Formulations of the 3+1 evolution equations in curvilinear coordinates [Elektronische Daten] [Miguel Alcubierre, Martha Mendez] Following Brown (Phys Rev D79:104029, 2009), in this paper we give an overview of how to modify standard hyperbolic formulations of the 3+1 evolution equations of General Relativity in such a way that all auxiliary quantities are true tensors, thus allowing for these formulations to be used with curvilinear sets of coordinates such as spherical or cylindrical coordinates. After considering the general case for both the Nagy-Ortiz-Reula and the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulations, we specialize to the case of spherical symmetry and also discuss the issue of regularity at the origin. Finally, we show some numerical examples of the modified BSSN formulation at work in spherical symmetry. Springer Science+Business Media, LLC, 2011 Numerical relativity nationallicence 3+1 Evolution equations nationallicence Curvilinear coordinates nationallicence Alcubierre Miguel Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510, Mexico D.F., Mexico aut Mendez Martha Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510, Mexico D.F., Mexico aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2769-2806 0001-7701 43:10<2769 2011 43 10714 https://doi.org/10.1007/s10714-011-1202-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1202-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alcubierre Miguel Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510, Mexico D.F., Mexico aut NATIONALLICENCE 700 1- Mendez Martha Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510, Mexico D.F., Mexico aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2769-2806 0001-7701 43:10<2769 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer