SELF-DUAL 2-FORMS AND GRAVITY

被引：241

作者：

CAPOVILLA, R

DELL, J

JACOBSON, T

MASON, L

机构：

[1] THOMAS JEFFERSON HIGH SCH SCI & TECHNOL,ALEXANDRIA,VA 22312

[2] MATH INST,OXFORD OX1 3LB,ENGLAND

来源：

CLASSICAL AND QUANTUM GRAVITY | 1991年 / 8卷 / 01期

关键词：

D O I：

10.1088/0264-9381/8/1/009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A Palatini-type formulation of gravity coupled to matter and supergravity is given, in which the gravitational variables are a trio of self-dual 2-forms and an SL(2, C) connection. The action is polynomial in all the fields. This framework is shown to be the natural covariantization of Ashtekar's canonical formalism, and is used to find the general vacuum solution of the four initial value constraints associated with spacetime diffeomorphisms in that formalism.

引用

页码：41 / 57

页数：17

共 34 条

[1] COSMOLOGICAL CONSTANT AND FUNDAMENTAL LENGTH [J].

ANDERSON, JL ;

FINKELSTEIN, D .

AMERICAN JOURNAL OF PHYSICS, 1971, 39 (08) :901-+

[2] NEW VARIABLES FOR CLASSICAL AND QUANTUM-GRAVITY [J].

ASHTEKAR, A .

PHYSICAL REVIEW LETTERS, 1986, 57 (18) :2244-2247

[3] NEW VARIABLES FOR GRAVITY - INCLUSION OF MATTER [J].

ASHTEKAR, A ;

ROMANO, JD ;

TATE, RS .

PHYSICAL REVIEW D, 1989, 40 (08) :2572-2587

[4] NEW HAMILTONIAN-FORMULATION OF GENERAL-RELATIVITY [J].

ASHTEKAR, A .

PHYSICAL REVIEW D, 1987, 36 (06) :1587-1602

[5]

Ashtekar A., 1988, CONT MATH, V71

[6]

ASHTEKAR A, 1989, 12TH INT C GEN REL G, P611

[7]

Boyer C. P., 1980, General relativity and gravitation. One hundred years after the birth of Albert Einstein, vol.2, P241

[8] GRAVITATIONAL INSTANTONS AS SU(2) GAUGE-FIELDS [J].

CAPOVILLA, R ;

JACOBSON, T ;

DELL, J .

CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (01) :L1-L3

[9] A PURE SPIN-CONNECTION FORMULATION OF GRAVITY [J].

CAPOVILLA, R ;

DELL, J ;

JACOBSON, T .

CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (01) :59-73

[10] GENERAL-RELATIVITY WITHOUT THE METRIC [J].

CAPOVILLA, R ;

JACOBSON, T ;

DELL, J .

PHYSICAL REVIEW LETTERS, 1989, 63 (21) :2325-2328

← 1 2 3 4 →