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arXiv · 1803.02795

Complexity Growth Rate in Lovelock Gravity

Pablo A. Cano·Robie A. Hennigar·Hugo Marrochio
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Abstract

Using the "Complexity = Action" framework we compute the late time growth of complexity for charged black holes in Lovelock gravity. Our calculation is facilitated by the fact that the null boundaries of the Wheeler-DeWitt patch do not contribute at late times and essential contributions coming from the joints are now understood arXiv:1803.00172. The late time growth rate reduces to a difference of internal energies associated with the inner and outer horizons, and in the limit where the mass is much larger than the charge, we reproduce the celebrated result of $2M/\pi$ with corrections proportional to the highest Lovelock coupling in even (boundary) dimensions. We find in some cases a minimum mass below which complexity remains effectively constant, even if the black hole contains a non-degenerate horizon.

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Pablo A. Cano, Robie A. Hennigar, Hugo Marrochio. 2018-03-07. Complexity Growth Rate in Lovelock Gravity. https://doi.org/10.1103/physrevlett.121.121602

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