Two-dimensional area and matter flux in the theory of causal fermion systems-Reference-Cited by-同舟云学术

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

Published:2020-10-01 Issue:15 Volume:29 Page:2050098
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

Curiel Erik¹,Finster Felix²,Isidro José M.³^ORCID

Affiliation:

1. Munich Center for Mathematical Philosophy, Ludwig-Maximilians-Universität, 80539 München, Germany

2. Fakultät für Mathematik, Universität Regensburg, D-93040 Regensburg, Germany

3. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain

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.

Funder

the Deutsche Forschungsgemeinschaft

Universitätsstiftung Hans Vielberth

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271820500984

Reference20 articles.

1. Thermodynamics of Spacetime: The Einstein Equation of State

2. Thermodynamical aspects of gravity: new insights

3. F. Finster and M. Jokel, Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts, Progress and Visions in Quantum Theory in View of Gravity, eds. F. Finster, D. Giulini, J. Kleiner and J. Tolksdorf (Birkhäuser Verlag, Basel, 2020), pp. 63–92, arXiv:1908.08451 [math-ph].

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