Hydrostatic Equilibrium and Newtonian Limit of the Singular f(R) Gravity

A. J. BUSTELO AND D. BARRACO

CLASSICAL AND QUANTUM GRAVITY

IOP Publishing

Año: 2007 vol. 24 p. 2333 - 2342

0264-9381

We derive the hydrostatic equilibrium equation of a spherical star for any gravitational Lagrangian density of the form . The Palatini variational principle for the Helmholtz Lagrangian in the Einstein gauge is used to obtain the field equations in this gauge. The equilibrium hydrostatic equation is obtained and is used to study the Newtonian limit for . The same procedure is carried out for the more generally case giving a good Newtonian limit.