Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems

@article{Curiel2019TwoDimensionalAA,
  title={Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems},
  author={E. Curiel and F. Finster and J. Isidro},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
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 to the setting of causal fermion systems. 
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