On Complexity for Higher Derivative Gravities
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Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms. These include critical gravity in diverse dimensions. One observes that the complexity growth for neutral black holes saturates the proposed bound when the results are written in terms of physical quantities of the model. We will also study effects of shock wave to the complexity growth where we find that the presence of massive spin-2 mode slows down the rate of growth.
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Cited by 2 Pith papers
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Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes
Gauss-Bonnet corrections to the complete volume introduce a competition effect in static cases and prolong the critical time in two-sided shocks while the complexity growth rate stays governed by conserved momentum.
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Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes
Gauss-Bonnet corrections to the complete volume proposal introduce a competition effect in static black holes while preserving momentum-governed growth rates and logarithmic scrambling times in dynamical Vaidya geometries.
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