Equilibrium hydrostatic equation and Newtonian limit of the singular f(R) gravity
| dc.creator | Bustelo, A. J. | |
| dc.creator | Barraco, D. E. | |
| dc.date | 2006-11-28 | |
| dc.date | 2007-04-03 | |
| dc.date.accessioned | 2026-07-07T10:22:03Z | |
| dc.date.available | 2026-07-07T10:22:03Z | |
| dc.description | We derive the equilibrium hydrostatic equation of a spherical star for any gravitational Lagrangian density of the form $L=\sqrt{-g}f(R)$. 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 $f(R)=R-\frac{a^{2}}{3R}$. The same procedure is carried out for the more generally case $f(R)=R-\frac{1}{n+2}\frac{a^{n+1}}{R^{n}}$ giving a good Newtonian limit. | |
| dc.description | Revised version, to appear in Classical and Quantum Gravity. | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0611149 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0611149 | |
| dc.identifier | Class.Quant.Grav.24:2333-2342,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/9/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/175381 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Equilibrium hydrostatic equation and Newtonian limit of the singular f(R) gravity | |
| dc.type | text |