# Non-linear perturbation of black branes at large D

@article{Miyamoto2017NonlinearPO, title={Non-linear perturbation of black branes at large D}, author={U. Miyamoto}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-25} }

A bstractThe Einstein equations describing the black-brane dynamics both in Minkowski and AdS background were recently recast in the form of coupled diffusion equations in the large-D(imension) limit. Using such results in the literature, we formulate a higher-order perturbation theory of black branes in time domain and present the general form of solutions for arbitrary initial conditions. For illustrative purposes, the solutions up to the first or second order are explicitly written down for… Expand

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