NON-COMMUTATIVE DIFFEOMORPHISM INVARIANT GRAVITY

被引：0
|
作者：
Marculescu, S. [1 ]
机构：
[1] Univ Siegen, Fachbereich Phys, D-60438 Siegen, Germany
来源：
ROMANIAN JOURNAL OF PHYSICS | 2008年 / 53卷 / 9-10期
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中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Seiberg-Witten maps of vierbein and spin-connection in the vector representation of the gauged Lorentz group SO(1, 3) are used to construct a non-commutative version of the Hilbert-Einstein Lagrangian. By imposing the vierbein postulate and by demanding a torsion free geometry the non-commutative Lagrangian can be extended to become diffeomorphism invariant, provided that the non-commmutativity parameters form the components of a covariantly constant bivector and the spacetime has a (2 + 2)-decomposable structure.
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页码：1165 / 1170
页数：6
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