Methods and Applications of Analysis

Volume 30 (2023)

Number 2

Construction of global solutions to the linearized field equations for causal variational principles

Pages: 77 – 94

DOI: https://dx.doi.org/10.4310/MAA.2023.v30.n2.a2

Authors

Felix Finster (Fakultät für Mathematik, Universität Regensburg, Germany)

Margarita Kraus (Johannes-Gutenberg-Universität Mainz, Germany)

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

causal variational principles, linearized field equations, hyperbolicity conditions, surface layer integrals, causality, cone structures

2010 Mathematics Subject Classification

49Q20, 49S05, 58C35

Full Text (PDF format)

Received 1 November 2022

Accepted 6 July 2023

Published 8 January 2024