On the first law of holographic complexity

22 Dec 2019  ·  S. Sedigheh Hashemi, Ghadir Jafari, Ali Naseh ·

In this paper, we examine the proposed first law of holographic complexity through studying different perturbations around various spacetime backgrounds. We present a general expression for the variation of the holographic complexity on arbitrary backgrounds by an explicit covariant computation. Interestingly, the general expression can be written as a function of gravitational conserved charges reminiscent of the first law of thermodynamics.

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High Energy Physics - Theory General Relativity and Quantum Cosmology