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On Complexity for Higher Derivative Gravities

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arxiv 1702.06796 v3 pith:23SVFZUG submitted 2017-02-22 hep-th gr-qcquant-ph

Mohsen Alishahiha , Amin Faraji Astaneh , Ali Naseh , M.H. Vahidinia This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords complexitygrowthderivativehighertermsactionblackbound
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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wedge Holographic Complexity in Karch-Randall Braneworld

    hep-th 2024-12 conditional novelty 6.0 of 10

    For a wedge black string with fluctuating branes, the Complexity=Action growth rate gains a constant edge-mode term while Complexity=Volume gains a fluctuation-squared correction, breaking the naive equivalence of the...

  2. On volume subregion complexity in Vaidya spacetime

    hep-th 2019-08 conditional novelty 6.0 of 10

    In the AdS3 Vaidya geometry, the extremal volume defining holographic subregion complexity is genuinely x-dependent during the quench, so the standard x-independent ansatz fails at intermediate times; early and late t...

  3. Time dependence of complexity for Lovelock black holes

    hep-th 2019-08 conditional novelty 6.0 of 10

    For Lovelock black holes, the Complexity=Action growth rate at late times is a coupling-independent multiple of the mass, and the Schwarzschild limit is recovered only up to a constant under the authors' boundary-term...

  4. Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    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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