On the degrees of freedom of a semi-Riemannian metric

Details On the degrees of freedom of a semi-Riemannian metric On the degrees of freedom of a semi-Riemannian metric

2004-06-28

arxiv.org/abs/gr-qc/0406111v1

Class.Quant.Grav. 22 (2005) 893-908

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/22/5/009

A semi-Riemannian metric in a n-manifold has n(n-1)/2 degrees of freedom,
i.e. as many as the number of components of a differential 2-form. We prove
that any semi-Riemannian metric can be obtained as a deformation of a constant
curvature metric, this deformation being parametrized by a 2-form

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