On the degrees of freedom of a semi-Riemannian metric

Abstract

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

Cited by in corpus (7)

• Extended Theories of Gravity
• Space-time deformations as extended conformal transformations
• Flat deformation theorem and symmetries in spacetime
• The not-so-nonlinear nonlinearity of Einstein's equation
• A hydrodynamical description of gravitational waves
• Flat deformation of a spacetime admitting two Killing fields
• Deformations of three-dimensional metrics