English

Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles

Mathematical Physics 2024-01-10 v3 Analysis of PDEs math.MP

Abstract

We give a novel construction of global solutions to the linearized field equations for causal variational principles. The method is to glue together local solutions supported in lens-shaped regions. As applications, causal Green's operators and cone structures are introduced.

Keywords

Cite

@article{arxiv.2210.16665,
  title  = {Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles},
  author = {Felix Finster and Margarita Kraus},
  journal= {arXiv preprint arXiv:2210.16665},
  year   = {2024}
}

Comments

17 pages, LaTeX, 3 figures, minor changes (published version). arXiv admin note: substantial text overlap with arXiv:1811.10587; text overlap with arXiv:2111.08261, arXiv:1912.12995