INVESTIGADORES
BARRACO DIAZ Daniel Eugenio
artículos
Título:
The Newtonian Limit of the Singular f(R) Gravity in the Palatini Formalism
Autor/es:
E. DOMINGUEZ AND D. BARRACO
Revista:
PHYSICAL REVIEW D - PARTICLE AND FILDS
Editorial:
The American Physical Society
Referencias:
Año: 2004 vol. 70 p. 435051 - 435055
ISSN:
0556-2821
Resumen:
n this paper we review and study several different features of
anisotropic spherical star models. We first show that if the radial
pressure is larger than the tangential pressure, then the radial
pressure is also larger than the corresponding pressure for a fiducial
isotropic model with the same mass function and total mass, while the
opposite holds if the tangential pressure is larger than the radial
one. If, in the first case, we further impose an energy condition, then
using previous results (maximum mass for an isotropic spherically
symmetric star) we obtain a value for the maximum possible redshift at
the surface of the star. These results are then applied in the analysis
of a specific example given by the Bower-Liang model. Finally, imposing
energy conditions, we study the maximum possible value for the
redshift, independently of whether the radial or the tangential
pressure is larger than the other. We first reobtain Ivanovs bound for
the ratio of mass to radius, but using a different approach, and then
we find a refinement of this bound, expressing it as a function of the
ratio between the central and the average energy density.