Two-dimensional area and matter flux in the theory of causal fermion systems

Curiel, Erik and Finster, Felix and Isidro, Jose M. (2020) Two-dimensional area and matter flux in the theory of causal fermion systems. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 29 (15): 2050098. ISSN 0218-2718, 1793-6594

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Abstract

The notions of two-dimensional area, Killing fields and matter flux are introduced in the setting of causal fermion systems. It is shown that for critical points of the causal action, the area change of two-dimensional surfaces under a Killing flow in null directions is proportional to the matter flux through these surfaces. This relation generalizes an equation in classical general relativity due to Ted Jacobson setting of causal fermion systems.

Item Type: Article
Uncontrolled Keywords: PRINCIPLE; Causal fermion system; surface layer integral; area change; matter flux; null Killing field
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Mar 2021 09:16
Last Modified: 08 Mar 2021 09:16
URI: https://pred.uni-regensburg.de/id/eprint/43425

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