On the degrees of freedom of a semi-Riemannian metric

J Llosa, D Soler
2005 Classical and quantum gravity  
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
doi:10.1088/0264-9381/22/5/009 fatcat:elsxjlwugbaxhkkqizfcr6ao7u