Two-dimensional area and matter flux in the theory of causal fermion systems
Erik Curiel, Felix Finster, J. M. Isidro
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.
Topics & Concepts
PhysicsFermionAction (physics)General relativityFlux (metallurgy)Theoretical physicsTheory of relativityMathematical physicsClassical mechanicsQuantum mechanicsMaterials scienceMetallurgyCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories