Abstract

GARCIA-COMPEAN, H; OBREGON, O  and  RAMIREZ, C. Noncommutativity in the Theory of Gravity. Rev. mex. fis. [online]. 2007, vol.53, suppl.2, pp.75-84. ISSN 0035-001X.

Noncommutative gravity is a very interesting subject that has not yet been successfully related to string theory. However, it can be motivated by itself by the consideration of a description of the microscopic structure of spacetime, leaving for the future its precise connection to string theory or M-theory. In this paper we review some of the recent attempts to make sense of the noncommutative description of some classical theories of gravity by using the Seiberg-Witten map. In particular we describe noncommutative topological gravity and a gauge invariant proposal generalizing Plebanski-Ashtekar Self-dual gravity.

Keywords : Noncommutative field theory; Seiberg-Witten map; topological gravity; self-dual gravity.

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