Work

Topology change from pointlike sources

Year: 2024

Type: article

Abstract: In this paper we study topology-changing spacetimes occurring from pointlike sources. Following an old idea of Penrose, we will opt for a non-Hausdorff model of topology change in which an initial pointlike source is ``doubled'' and allowed to propagate along null rays into an eventual cobordism. By appealing to recent developments in non-Hausdorff differential geometry, we will describe and evaluate gravitational actions on these topology-changing spacetimes. Motivated by analogous results for the Trousers space, we describe a sign convention for Lorentzian angles that will ensure the dampening of our non-Hausdorff topology-changing spacetimes within a two-dimensional path integral for gravity.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.064026

Authors: Yasha Neiman, David O’Connell

Institution: Okinawa Institute of Science and Technology Graduate University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Okinawa Institute of Science and Technology Graduate University

OpenAlex ID: W4402363176

FWCI: 0.381

Cites: 52

Cited by: 2

Related to: 10