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      Non-commutative Einstein equations and Seiberg-Witten map

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          Abstract

          The Seiberg--Witten map is a powerful tool in non-commutative field theory, and it has been recently obtained in the literature for gravity itself, to first order in non-commutativity. This paper, relying upon the pure-gravity form of the action functional considered in Ref. 2, studies the expansion to first order of the non-commutative Einstein equations, and whether the Seiberg--Witten map can lead to a solution of such equations when the underlying classical geometry is Schwarzschild.

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          Author and article information

          Journal
          17 March 2011
          2011-06-15
          Article
          10.1142/S2010194511001231
          1103.3348
          4b05a94b-b611-4458-bbda-0b48af359638

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          DSF preprint 2011/3
          6 and 1/2 pages, based on talk prepared for the Friedmann Seminar, May-June 2011. In the final version, the presentation has been improved, including a better notation
          hep-th gr-qc

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