A covariant approach to Ashtekar's canonical gravity

被引：2

作者：

Dolan, BP

Haugh, KP

机构：

[1] Department of Mathematical Physics, St. Patrick's College, Maynooth

来源：

CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 02期

关键词：

D O I：

10.1088/0264-9381/14/2/020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A Lorentz and general coordinate covariant form of canonical gravity, using Ashtekar's variables, is investigated. A covariant treatment due to Cmkovic and Witten is used, in which a point in phase space represents a solution of the equations of motion and a symplectic functional 2-form is constructed, which is Lorentz and general coordinate invariant. The subtleties and difficulties due to the complex nature of Ashtekar's variables are addressed and resolved.

引用

页码：477 / 488

页数：12

共 13 条

[1]

[Anonymous], 1987, MATH ASPECTS STRING

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

ASHTEKAR, A .

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

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

ASHTEKAR, A .

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

[4] THE CP PROBLEM IN QUANTUM-GRAVITY [J].

ASHTEKAR, A ;

BALACHANDRAN, AP ;

JO, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (06) :1493-1514

[5]

ASHTEKAR A, 1988, NEW PERSPECTIVES CAN

[6]

Ashtekar A., 1991, PRINT 90 0318 SYRACU

[7]

CRNKOVIC C, 1987, 300 YEARS GRAVITATIO

[8] TRIAD APPROACH TO THE HAMILTONIAN OF GENERAL-RELATIVITY [J].

GOLDBERG, JN .

PHYSICAL REVIEW D, 1988, 37 (08) :2116-2120

[9]

GOLDBERG JN, 1996, CLASSICAL QUANT GRAV, V12, P2779

[10] DERIVATION OF ASHTEKAR VARIABLES FROM TETRAD GRAVITY [J].

HENNEAUX, M ;

NELSON, JE ;

SCHOMBLOND, C .

PHYSICAL REVIEW D, 1989, 39 (02) :434-437

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