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Metric‐free definition of the energy momentum tensor: Gravitation with symmetric connection
Author(s) -
Matagne E.
Publication year - 2012
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201100172
Subject(s) - physics , connection (principal bundle) , einstein tensor , parameterized post newtonian formalism , stress–energy tensor , metric tensor , metric (unit) , gravitation , symmetric tensor , tensor (intrinsic definition) , theoretical physics , classical field theory , mathematical physics , classical unified field theories , classical mechanics , riemann curvature tensor , exact solutions in general relativity , quantum mechanics , mathematics , curvature , mathematical analysis , pure mathematics , geometry , geodesic , operations management , economics
A metric‐free definition of the energy momentum tensor is presented. That definition can be used with any Lagrangian based gravitational theory where the independent variable is a symmetric connection. The case of Hilbert‐Einstein gravitation is treated as an example of such a theory.