On teleparallel version of stationary axisymmetric solutions and their energy contents

被引：10

作者：

Gad, Ragab M. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Menia Univ, Fac Sci, Dept Math, El Minia 61915, Egypt

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2013年 / 346卷 / 02期

关键词：

Torsion axial-vector; Energy and momentum densities; Extra Hamiltonian; EINSTEIN-MAXWELL SOLUTIONS; GENERAL-RELATIVITY; PERFECT FLUID; SYMMETRIES;

D O I：

10.1007/s10509-013-1476-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this study, we have investigated the geometrical and physical properties of stationary axisymmetric solutions. The expressions for the axial-vector and the gravitational energy and momentum densities are obtained in the context of teleparallel equivalent of general relativity. The obtained results are compared with that obtained previously in the context of Moller's tetrad theory of gravitation. We discussed special cases of these solutions.

引用

页码：553 / 557

页数：5

共 14 条

[1]

Aldrovandi R., 1995, INTRO GEOMETRICAL PH

[2] Gravitational Lorentz force and the description of the gravitational interaction [J].

deAndrade, VC ;

Pereira, JG .

PHYSICAL REVIEW D, 1997, 56 (08) :4689-4695

[3] NEW GENERAL-RELATIVITY [J].

HAYASHI, K ;

SHIRAFUJI, T .

PHYSICAL REVIEW D, 1979, 19 (12) :3524-3553

[4]

Hehl F.W., 1991, Geometry and Theoretical Physics

[5] HAMILTONIAN-FORMULATION OF THE TELEPARALLEL DESCRIPTION OF GENERAL-RELATIVITY [J].

MALUF, JW .

JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (01) :335-343

[6]

Moller C., 1952, The Theory of Relativity

[7] Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory [J].

Nashed, Gamal G. L. .

ASTROPHYSICS AND SPACE SCIENCE, 2010, 330 (01) :173-181

[8] TRANSLATIONAL GAUGE-THEORY OF GRAVITY - POST-NEWTONIAN APPROXIMATION AND SPIN PRECESSION [J].

NITSCH, J ;

HEHL, FW .

PHYSICS LETTERS B, 1980, 90 (1-2) :98-102

[9] Axial-vector torsion and the teleparallel Kerr spacetime [J].

Pereira, JG ;

Vargas, T ;

Zhang, CM .

CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (05) :833-841

[10] Teleparallel version of the stationary axisymmetric solutions and their energy contents [J].

Sharif, M. ;

Amir, M. Jamil .

GENERAL RELATIVITY AND GRAVITATION, 2007, 39 (07) :989-1002

← 1 2 →