Cylindrical solutions in metric f (R) gravity

被引：135

作者：

Azadi, A. ^{[1
]}

Momeni, D. ^{[1
]}

Nouri-Zonoz, M. ^{[1
,2
]}

机构：

[1] Univ Tehran, Dept Phys, Tehran 14395547, Iran

[2] Inst Res Fundamental Sci IPM, Sch Astron & Astrophys, Tehran, Iran

来源：

PHYSICS LETTERS B | 2008年 / 670卷 / 03期

关键词：

D O I：

10.1016/j.physletb.2008.10.054

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study static cylindrically symmetric vacuum solutions in Weyl coordinates in the context of the metric f(R) theories of gravity. The set of the modified Einstein equations is reduced to a single equation and it is shown how one can construct exact solutions corresponding to different f(R) models. In particular the family of solutions with constant Ricci scalar (R = R-0) is found explicitly which, as a special case (R = 0), includes the exterior spacetime of a cosmic string. Another new solution with constant, non-zero Ricci scalar is obtained and its possible relation to the Linet-Tian solution in general relativity is discussed. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：210 / 214

页数：5

共 19 条

[1]

ANDERSON MA, 2003, MATH THEORY COSMIC S

[2]

BUCHDAHL HA, 1970, MON NOT R ASTRON SOC, V150, P1

[3] Solar System constraints to general f(R) gravity [J].

Chiba, Takeshi ;

Smith, Tristan L. ;

Erickcek, Adrienne L. .

PHYSICAL REVIEW D, 2007, 75 (12)

[4]

COGNOLA G, ARXIV07124017HEPTH

[5]

Eddington A. S., 1923, MATH THEORY RELATIVI

[6]

FAULKNER T, ASTROPH0612569

[7]

Gradshteyn I.S., 1994, Tables of Integrals, Series, and Products

[8]

HU W, ARXIV07051158

[9]

Levi-Civita T., 1917, REND ACC LINCEI, V27, P183

[10] THE STATIC, CYLINDRICALLY SYMMETRICAL STRINGS IN GENERAL-RELATIVITY WITH COSMOLOGICAL CONSTANT [J].

LINET, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (07) :1817-1818

← 1 2 →