REAL-POLYNOMIAL FORMULATION OF GENERAL-RELATIVITY IN TERMS OF CONNECTIONS

被引:48
作者
BARBERO, JFG [1 ]
机构
[1] CSIC,INST MATEMAT & FIS FUNDAMENTAL,E-28006 MADRID,SPAIN
来源
PHYSICAL REVIEW D | 1994年 / 49卷 / 12期
关键词
D O I
10.1103/PhysRevD.49.6935
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
I show in this Brief Report that it is possible to construct a Hamiltonian description for Lorentzian general relativity in terms of two real SO(3) connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of general relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated with the complex character of the latter.
引用
收藏
页码:6935 / 6938
页数:4
相关论文
共 21 条
[11]   COVARIANT ACTION FOR ASHTEKAR FORM OF CANONICAL GRAVITY [J].
JACOBSON, T ;
SMOLIN, L .
CLASSICAL AND QUANTUM GRAVITY, 1988, 5 (04) :583-594
[12]   THE LEFT-HANDED SPIN CONNECTION AS A VARIABLE FOR CANONICAL GRAVITY [J].
JACOBSON, T ;
SMOLIN, L .
PHYSICS LETTERS B, 1987, 196 (01) :39-42
[13]   UNIFICATION OF GRAVITY AND YANG-MILLS THEORY IN (2+1) DIMENSIONS [J].
PELDAN, P .
NUCLEAR PHYSICS B, 1993, 395 (1-2) :239-262
[14]   LEGENDRE TRANSFORMS IN ASHTEKAR THEORY OF GRAVITY [J].
PELDAN, P .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (10) :1765-1783
[15]   LOOP SPACE REPRESENTATION OF QUANTUM GENERAL-RELATIVITY [J].
ROVELLI, C ;
SMOLIN, L .
NUCLEAR PHYSICS B, 1990, 331 (01) :80-152
[16]   KNOT-THEORY AND QUANTUM-GRAVITY [J].
ROVELLI, C ;
SMOLIN, L .
PHYSICAL REVIEW LETTERS, 1988, 61 (10) :1155-1158
[17]   A LAGRANGIAN BASIS FOR ASHTEKAR REFORMULATION OF CANONICAL GRAVITY [J].
SAMUEL, J .
PRAMANA, 1987, 28 (04) :L429-L432
[18]  
SMOLIN L, 1992, 22 P GIFT INT SEM TH
[19]   POLYNOMIAL CONSTRAINTS FOR GENERAL-RELATIVITY USING REAL GEOMETRODYNAMICAL VARIABLES [J].
TATE, RS .
CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (01) :101-119
[20]   NONSINGULAR DEGENERATE NEGATIVE ENERGY SOLUTION TO THE ASHTEKAR EQUATIONS [J].
VARADARAJAN, M .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (11) :L235-L240