# Emergent geometry and gravity from matrix models: an introduction

@article{Steinacker2010EmergentGA, title={Emergent geometry and gravity from matrix models: an introduction}, author={Harold C Steinacker}, journal={Classical and Quantum Gravity}, year={2010}, volume={27}, pages={133001} }

An introductory review to emergent noncommutative gravity within Yang–Mills matrix models is presented. Spacetime is described as a noncommutative brane solution of the matrix model, i.e. as a submanifold of . Fields and matter on the brane arise as fluctuations of the bosonic resp. fermionic matrices around such a background, and couple to an effective metric interpreted in terms of gravity. Suitable tools are provided for the description of the effective geometry in the semi-classical limit…

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