RELATIVISTIC RING MODELS

被引：2

作者：

Ujevic, Maximiliano ^{[1
]}

Letelier, Patricio S. ^{[2
]}

Vogt, Daniel ^{[2
]}

机构：

[1] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210170 Sao Paulo, Brazil

[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Dept Matemat Aplicada, BR-13081970 Campinas, SP, Brazil

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2011年 / 20卷 / 12期

基金：

巴西圣保罗研究基金会;

关键词：

General relativity; rings; stability; DENSITY-POTENTIAL PAIRS; SUPERPOSED WEYL FIELDS; FLAT RINGS; GALAXIES; STABILITY; DISKS;

D O I：

10.1142/S0218271811020305

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Relativistic thick ring models are constructed using previously found analytical Newtonian potential-density pairs for flat rings and toroidal structures obtained from Kuzmin-Toomre family of disks. In particular, we present systems with one ring, two rings and a disk with a ring. Also, the circular velocity of a test particle and its stability when performing circular orbits are presented in all these models. In general, we find that regions of non-stability appear between the rings when they become thinner.

引用

页码：2291 / 2304

页数：14

共 28 条

[11]

LETELIER PS, 1987, J MATH PHYS, V28, P16

[12]

MIYAMOTO M, 1975, PUBL ASTRON SOC JPN, V27, P533

[13] GRAVITATIONAL FIELD OF A DISK [J].

MORGAN, T ;

MORGAN, L .

PHYSICAL REVIEW, 1969, 183 (05) :1097-&

[14] The structure of superposed Weyl fields [J].

Semerák, O ;

Zellerin, T ;

Zácek, M .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1999, 308 (03) :691-704

[15] Test-particle motion in superposed Weyl fields [J].

Semerák, O ;

Zácek, M ;

Zellerin, T .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1999, 308 (03) :705-717

[16]

STRUTT JW, 1916, P ROY SOC LOND A MAT, V93, P148

[17] RING GALAXIES .2. [J].

THEYS, JC ;

SPIEGEL, EA .

ASTROPHYSICAL JOURNAL, 1977, 212 (03) :616-&

[18] RING GALAXIES .1. [J].

THEYS, JC ;

SPIEGEL, EA .

ASTROPHYSICAL JOURNAL, 1976, 208 (03) :650-&

[19]

THOMSON W, 1847, J MATH PURE APPL, V12, P256

[20] ON DISTRIBUTION OF MATTER WITHIN HIGHLY FLATTENED GALAXIES [J].

TOOMRE, A .

ASTROPHYSICAL JOURNAL, 1963, 138 (02) :385-&

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