Variational derivatives of gravitational actions

Abstract

A method of calculation for the variational derivatives for gravitational actions in the pseudo-Riemannian case is proposed as a practical variant of the first order formalism with constraints. The method is then used to derive the metric field equations for a generic $f(R)$ model.

References are reordered and updated. Minor changes in the abstract

References in corpus (1)

• Multi-Scalar-Tensor Equivalents for Modified Gravitational Actions

Cited by in corpus (4)

• Linearized gravity in terms of differential forms
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Generalized Sparling-Thirring form in the Brans-Dicke theory
• The Exterior Calculus of Quadratic Gravity