A generalized Momentum/Complexity correspondence

Autor: J. L. F. Barbón, J. Martín-García, M. Sasieta
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-23 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2021)250
Popis: 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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