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arXiv · 2012.02603

A Generalized Momentum/Complexity Correspondence

J. L. F. Barbon·J. Martin-Garcia·M. Sasieta
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Abstract

Holographic complexity, in the guise of the Complexity = Volume prescription, comes equipped with a natural correspondence between its rate of growth and the average infall momentum of matter in the bulk. This Momentum/Complexity correspondence can be related to an integrated version of the momentum constraint of general relativity. In this paper we propose a generalization, using the full Codazzi equations as a starting point, which successfully accounts for purely gravitational contributions to infall momentum. The proposed formula is explicitly checked in an exact pp-wave solution of the vacuum Einstein equations.

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J. L. F. Barbon, J. Martin-Garcia, M. Sasieta. 2020-12-04. A Generalized Momentum/Complexity Correspondence. https://doi.org/10.1007/jhep04(2021)250

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