GENERAL-RELATIVISTIC GRAVITATIONAL-FIELD OF A RIGIDLY ROTATING-DISK OF DUST - SOLUTION IN TERMS OF ULTRAELLIPTIC FUNCTIONS

被引：126
作者：
NEUGEBAUER, G
MEINEL, R
机构：
[1] Max-Planck-Gesellschaft, Arbeitsgruppe Gravitationstheorie, Universität Jena, D-07743 Jena
来源：
PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 17期
关键词：
D O I：
10.1103/PhysRevLett.75.3046
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In a recent paper we presented analytic expressions for the axis potential, the disk metric, and the surface mass density of the global solution to Einstein's field equations describing a rigidly rotating disk of dust. Here we add the complete solution in terms of ultraelliptic functions and quadratures.
引用
收藏
页码：3046 / 3047
页数：2
相关论文
共 11 条
[1]   RELATIVISTIC DISKS .1. UNIFORM ROTATION [J].
BARDEEN, JM ;
WAGONER, RV .
ASTROPHYSICAL JOURNAL, 1971, 167 (03) :359-+
[2]   UNIFORMLY ROTATING DISKS IN GENERAL RELATIVITY [J].
BARDEEN, JM ;
WAGONER, RV .
ASTROPHYSICAL JOURNAL, 1969, 158 (2P2) :L65-+
[3]  
GOPEL A, 1847, CRELLES J MATH, V35, P277
[4]  
JACOBI CGJ, 1832, CRELLES J MATH, V9, P394
[5]  
Krazer A., 1903, LEHRBUCH THETAFUNKTI
[6]  
MUMFORD D, 1983, TATA LECTURES THETA, V28
[7]  
MUMFORD D, 1984, TATA LECTURES THETA, V43
[8]   THE EINSTEINIAN GRAVITATIONAL-FIELD OF THE RIGIDLY ROTATING-DISK OF DUST [J].
NEUGEBAUER, G ;
MEINEL, R .
ASTROPHYSICAL JOURNAL, 1993, 414 (02) :L97-L99
[9]   GENERAL-RELATIVISTIC GRAVITATIONAL-FIELD OF A RIGIDLY ROTATING-DISK OF DUST - AXIS POTENTIAL, DISK METRIC, AND SURFACE MASS DENSITY [J].
NEUGEBAUER, G ;
MEINEL, R .
PHYSICAL REVIEW LETTERS, 1994, 73 (16) :2166-2168
[10]  
ROSENHAIN G, 1850, CRELLES J MATH, V40, P319
12