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arXiv · 1206.0678

Notes on Emergent Gravity

Sunggeun Lee·Raju Roychowdhury·Hyun Seok Yang
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Abstract

Emergent gravity is aimed at constructing a Riemannian geometry from U(1) gauge fields on a noncommutative spacetime. But this construction can be inverted to find corresponding U(1) gauge fields on a (generalized) Poisson manifold given a Riemannian metric (M, g). We examine this bottom-up approach with the LeBrun metric which is the most general scalar-flat Kahler metric with a U(1) isometry and contains the Gibbons-Hawking metric, the real heaven as well as the multi-blown up Burns metric which is a scalar-flat Kahler metric on C^2 with n points blown up. The bottom-up approach clarifies some important issues in emergent gravity.

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Sunggeun Lee, Raju Roychowdhury, Hyun Seok Yang. 2012-09-11. Notes on Emergent Gravity. https://doi.org/10.1007/jhep09(2012)030

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