Premium
Solution of Einstein's Gravitational Field Equations by the Finite Element Method
Author(s) -
Gass N.
Publication year - 1980
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19800600204
Subject(s) - gravitational field , gravitation , nonlinear system , einstein , einstein field equations , field equation , physics , classical field theory , finite element method , classical mechanics , algebraic equation , mathematics , mathematical physics , extended finite element method , einstein's constant , symmetry (geometry) , circular symmetry , mathematical analysis , geometry , quantum mechanics , thermodynamics
Einstein's field equations of gravitation in presence of matter are presented in the form of a discrete functional from which, after performing an extremization process, a system of nonlinear algebraic equations arises. On this basis, a 4‐dimensional finite element is developed and in the case of spherical symmetry and time‐independence, a numerical example is carried out.