Non-commutative Einstein equations and Seiberg-Witten map
High Energy Physics - Theory
2015-05-27 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1103.3348,
title = {Non-commutative Einstein equations and Seiberg-Witten map},
author = {Paolo Aschieri and Elisabetta Di Grezia and Giampiero Esposito},
journal= {arXiv preprint arXiv:1103.3348},
year = {2015}
}
Comments
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