Hydrostatic equilibrium equation and Newtonian limit of the singular f(R) gravity

被引：38

作者：

Bustelo, A. J. ^{[1
]}

Barraco, D. E. ^{[1
]}

机构：

[1] Natl Univ Cordoba, FAMAF, RA-5000 Cordoba, Argentina

来源：

CLASSICAL AND QUANTUM GRAVITY | 2007年 / 24卷 / 09期

关键词：

D O I：

10.1088/0264-9381/24/9/011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the hydrostatic equilibrium equation of a spherical star for any gravitational Lagrangian density of the form L = root-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 - a(2)/3R. The same procedure is carried out for the more generally case f(R) = R - 1/n+2 a(n+1)/R-n giving a good Newtonian limit.

引用

页码：2333 / 2342

页数：10

共 29 条

[1]

ALLEMANDI G, 2006, GRQC0504057

[2] f(R) cosmology in the first order formalism [J].

Barraco, D ;

Hamity, VH ;

Vucetich, H .

GENERAL RELATIVITY AND GRAVITATION, 2002, 34 (04) :533-547

[3] The Newtonian limit in a family of metric affine theories of gravitation [J].

Barraco, DE ;

Guibert, R ;

Hamity, VH ;

Vucetich, H .

GENERAL RELATIVITY AND GRAVITATION, 1996, 28 (03) :339-345

[4] Conservation laws, symmetry properties, and the equivalence principle in a class of alternative theories of gravity -: art. no. 044012 [J].

Barraco, DE ;

Domínguez, E ;

Guibert, R .

PHYSICAL REVIEW D, 1999, 60 (04)

[5] Spherically symmetric solutions in f(R) theories of gravity obtained using the first order formalism -: art. no. 044027 [J].

Barraco, DE ;

Hamity, VH .

PHYSICAL REVIEW D, 2000, 62 (04) :6

[6]

BARRACO DE, 1991, THESIS U NACIONAL CO

[7] First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations:: Preliminary maps and basic results [J].

Bennett, CL ;

Halpern, M ;

Hinshaw, G ;

Jarosik, N ;

Kogut, A ;

Limon, M ;

Meyer, SS ;

Page, L ;

Spergel, DN ;

Tucker, GS ;

Wollack, E ;

Wright, EL ;

Barnes, C ;

Greason, MR ;

Hill, RS ;

Komatsu, E ;

Nolta, MR ;

Odegard, N ;

Peiris, HV ;

Verde, L ;

Weiland, JL .

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2003, 148 (01) :1-27

[8]

BUSTELO A, 2006, THESIS U NACIONAL CO

[9] Curvature quintessence [J].

Capozziello, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (04) :483-491

[10]

COGNOLA G, 2005, HEPTH0501096

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