Year: 2020
Type: article
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 <?CDATA ${\mathcal{I}}^{-}$?> I − contains the whole of the future conformal infinity <?CDATA ${\mathcal{I}}^{+}$?> 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.
Source: Classical and Quantum Gravity
Authors: Peter Cameron, Maciej Dunajski
Institution: University of Cambridge
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W3014907061