Schwarzschild Instanton in Emergent Gravity

Abstract

In the bottom-up approach of emergent gravity we attempt to find symplectic gauge fields emerging from Euclidean Schwarzschild instanton, which is studied as electromagnetism defined on the symplectic space $(M,ω)$. Geometrical engineering with the emergent metric sets up the Seiberg Witten map between commutative and non-commutative gauge fields, preparing the ground for the evaluation of topological invariants in terms of the underlying gauge theory quantities.

31 pages, contents and reference section modified, presentation improved, final version to appear in IJGMMP. arXiv admin note: text overlap with arXiv:hep-th/0003239 by other authors