.png){kind=icon}
返回
Linearized multipole solutions and their representation
.png){kind=icon}
OA
AI
DOI：10.1088/0264-9381/30/17/175003.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The monopole solution of the Einstein vacuum field equations (Schwarzschild's solution) in Weyl coordinates involves a metric function that can be interpreted as the gravitational potential of a bar of length 2 m with constant linear density. The question addressed in this work is whether similar representations can be constructed for Weyl solutions other than the spherically symmetric one. A new family of static solutions of the axisymmetric vacuum field equations generalizing the M-Q((1)) solution (Hernandez-Pastora and Martin 1993 Class. Quantum Grav. 10 2581) is developed. These represent slight deviations from spherical symmetry in terms of the relativistic multipole moments (RMM) we wish the solution to contain. A Newtonian object referred to as a dumbbell can be used to describe these solutions in a simple form by means of the density of this object, since the physical properties of the relativistic solution are characterized by its behaviour. The density profile of the dumbbell, which is given in terms of the RMM of the solution, allows us to distinguish general multipole Weyl solutions from the constant-density Schwarzschild solution. The range of values of the multipole moments that generate positive-definite density profiles is also calculated. The bounds on the multipole moments that arise from this density condition are identical to those required for a well-behaved infinite-redshift surface g(00) = 0.
Keyword:
AXISYMMETRICAL SOLUTIONS
GRAVITATIONAL-FIELD
SUMMATION METHODS
MOMENT SERIES
DIPOLE
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
机构
引用论文
.png){kind=icon}
分享收藏分享收藏
查看更多内容