On the first law of holographic complexity
High Energy Physics - Theory
2020-10-28 v3 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1912.10436,
title = {On the first law of holographic complexity},
author = {S. Sedigheh Hashemi and Ghadir Jafari and Ali Naseh},
journal= {arXiv preprint arXiv:1912.10436},
year = {2020}
}
Comments
24 pages,Some improvements, New appendixes, Some rearrangements: Section 2 is moved to appendix B, To appear in PRD