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Notes on emergent gravity
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DOI：10.1007/JHEP09(2012)030.png)
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Abstract
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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.
Keywords:
Gauge-gravity correspondence
Models of Quantum Gravity
Non-Commutative Geometry
Journal
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5.5
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3.9W
Citations:
13.7W