A REVIEW ON THE GEOMETRIC FORMULATION OF TOLMAN-BONDI EQUATIONS IN GENERAL RELATIVITY

被引：4

作者：

Bochicchio, Ivana ^{[1
,2
]}

Francaviglia, Mauro ^{[3
,4
]}

Laserra, Ettore ^{[1
,2
]}

机构：

[1] Univ Salerno, Dept Math & Informat, I-84084 Fisciano, SA, Italy

[2] Ist Nazl Fis Nucl, Sez Napoli, I-80125 Naples, Italy

[3] Univ Turin, Dept Math, I-10123 Turin, Italy

[4] Univ Calabria, Lab Comunicaz Sci, I-87036 Arcavacata Di Rende, CS, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2009年 / 6卷 / 04期

关键词：

Spherically symmetrical models; Tolman-Bondi equations; Ricci principal curvatures;

D O I：

10.1142/S0219887809003709

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work is focused on spherically symmetric space-times. More precisely, geometric and structural properties of spatially spherical shells of a dust universe are analyzed in detail considering recent results of our research. Moreover, exact solutions, obtained for constant Ricci principal curvatures, are inferred and qualitatively analyzed through suitable classic analogies.

引用

页码：595 / 617

页数：23

共 24 条

[11]

CATTANEO C, 1959, ANN MAT PUR APPL, V48, P361

[12]

Courant R., 1936, DIFFERENTIAL INTEGRA, VII

[13]

Ehlers J., 1973, Relativity, Astrophysics and Cosmology

[14]

EHLERS J, 1979, P INT SCH PHYS IS GR

[15]

Eisenhart L.P., 1964, Riemannian Geometry

[16]

Elsgolts L. E., 1981, EQUAZIONI DIFFERENZI

[17] SPINOR STRUCTURE OF SPACE-TIMES IN GENERAL RELATIVITY .I. [J].

GEROCH, R .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (11) :1739-&

[18]

Laserra E., 1985, Meccanica, V20, P267, DOI 10.1007/BF02352677

[19]

LASERRA E, 1982, REND MAT, V2, P799

[20]

Lemaitre G, 1933, CR HEBD ACAD SCI, V196, P1085

← 1 2 3 →