Eur. Phys. J. Plus (2013) 128: 125
https://doi.org/10.1140/epjp/i2013-13125-x

Regular Article

Variational derivatives of gravitational actions

Department of Physics, Faculty of Science and Letters, Niğde University, 51240, Niğde, Turkey

^* e-mail: abaykal@nigde.edu.tr

Received: 10 September 2013
Accepted: 3 October 2013
Published online: 25 October 2013

Abstract

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