Metric‐free definition of the energy momentum tensor: Gravitation with symmetric connection | Zendy

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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.

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