Some connections and variational principle to the Finslerian scalar-tensor theory of gravitation

被引：14

作者：

Stavrinos, PC ^{[1
]}

Ikeda, S ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

REPORTS ON MATHEMATICAL PHYSICS | 1999年 / 44卷 / 1-2期

关键词：

D O I：

10.1016/S0034-4877(99)80164-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A generalized scalar-tensor theory of the Finslerian gravitational field is constructed on the basis of the fibered bundle of a base manifold and consists of two G-numbers (Grassmannian noncommutative) y(+), y(-), playing the role of fibres. In the framework of our approach, we study: the connection structures, torsions, curvatures and the gravitational field equations derived from variational principles of the appropriate Lagrangian densities.

引用

页码：221 / 230

页数：10

共 12 条

[1]

Asanov G.S., 1982, AEQUATIONES MATH, V24, P207

[2]

Asanov G.S., 1985, Finsler Geometry, Relativity and Gauge Theories

[3] MACHS PRINCIPLE AND A RELATIVISTIC THEORY OF GRAVITATION [J].

BRANS, C ;

DICKE, RH .

PHYSICAL REVIEW, 1961, 124 (03) :925-&

[4]

Connes A., 1994, NONCOMMUTATIVE GEOME

[5] ON THE THEORY OF GRAVITATIONAL-FIELD NON-LOCALIZED BY THE INTERNAL VARIABLE .4. [J].

IKEDA, S .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1993, 108 (04) :397-402

[6]

LORD EA, 1976, TENSORS RELATIVITY C

[7]

Miron R., 1994, GEOMETRY LAGRANGE SP

[8]

Miron R., 1987, Tensor New Ser, V46, P8

[9]

RUND H, 1972, IBER DTSCH MATH VERE, V74, P1

[10]

Stavrinos P. C., 1995, Reports on Mathematical Physics, V36, P439, DOI 10.1016/0034-4877(96)83638-X

← 1 2 →