Asymptotic flexibility of globally hyperbolic manifolds

TL;DR

This paper investigates the conditions under which globally hyperbolic manifolds can be combined, addressing a question relevant to the construction of Hadamard states in quantum field theory on curved spacetime.

Contribution

It provides new insights into the asymptotic flexibility of globally hyperbolic manifolds, contributing to the understanding of their patching properties.

Findings

Identifies conditions for patching globally hyperbolic manifolds.

Addresses implications for constructing Hadamard states.

Advances understanding of manifold flexibility in quantum field theory.

Abstract

In this short note, a question of patching together globally hyperbolic manifolds is adressed which appeared in the context of the construction of Hadamard states.