On Schwarzschild causality in higher dimensions
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Cameron, Peter https://orcid.org/0000-0002-5379-0179
Dunajski, Maciej https://orcid.org/0000-0002-6477-8319
Abstract
Abstract: We show that the causal properties of asymptotically flat spacetimes depend on their dimensionality: while the time-like future of any point in the past conformal infinity I− contains the whole of the future conformal infinity I+ in (2 + 1) and (3 + 1) dimensional Schwarzschild spacetimes, this property (which we call the Penrose property) does not hold for (d + 1) dimensional Schwarzschild if d > 3. We also show that the Penrose property holds for the Kerr solution in (3 + 1) dimensions, and discuss the connection with scattering theory in the presence of positive mass.
Description
Keywords
Paper, conformal infinity, causality, Schwarzschild solution
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
37
Publisher
IOP Publishing
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)