COVARIANT 1ST-ORDER LAGRANGIANS, ENERGY-DENSITY AND SUPERPOTENTIALS IN GENERAL-RELATIVITY

被引：37

作者：

FERRARIS, M ^{[1
]}

FRANCAVIGLIA, M ^{[1
]}

机构：

[1] UNIV TURIN,IST FIS MATEMAT JL LAGRANGE,I-10123 TURIN,ITALY

来源：

GENERAL RELATIVITY AND GRAVITATION | 1990年 / 22卷 / 09期

关键词：

D O I：

10.1007/BF00757808

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A class of covariant first-order Lagrangians for General Relativity interacting with external matter fields is considered. These Lagrangians depend on the choice of a background connection which has no dynamics. The Poincaré-Cartan form, energy density flows and energy-momentum tensors are derived for this class of Lagrangians by applying standard methods, and the results are compared with those appearing in current literature. We obtain new results concerning superpotentials and covariant conservation laws. As an example, these are applied to calculate the mass and angular momentum for the Schwarzschild and Kerr black-holes. © 1990 Plenum Publishing Corporation.

引用

页码：965 / 985

页数：21

共 48 条

[31] NEW VARIATIONAL PRINCIPLE IN GENERAL RELATIVITY AND THE ENERGY OF THE GRAVITATIONAL-FIELD [J].