Twodimensional area and matter flux in the theory of causal fermion systems
Abstract
The notions of twodimensional 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 twodimensional 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.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2020
 DOI:
 10.1142/S0218271820500984
 arXiv:
 arXiv:1910.06161
 Bibcode:
 2020IJMPD..2950098C
 Keywords:

 Causal fermion system;
 surface layer integral;
 area change;
 matter flux;
 null Killing field;
 Mathematical Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 21 pages, LaTeX, 4 figures, small improvements (published version)