Abstract
AbstractThe positive mass theorem in higher dimensions is proved using causality arguments inspired by those of Penrose et al. (a positive mass theorem based on the focusing and retardation of null geodesics, 1993) in $$3+1$$
3
+
1
dimensions.
Funder
Science and Technology Facilities Council
St John’s College, University of Cambridge
Vetenskapsrådet
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
Reference21 articles.
1. Arnowitt, R., Deser, S., Misner, C.: The Dynamics of General Relativity Gravitation: An Introduction to Current Research, ed. L Witten New York: Wiley (1962)
2. Borde, A.: Geodesic focusing, energy conditions and singularities. Class. Quant. Grav. 4, 343 (1987)
3. Cameron, P., Dunajski, M.: On Schwarzschild causality in higher dimensions. Class. Quant. Grav. 37, 225002 (2020)
4. Chruściel, P., Galloway, G.: A poor man’s positive energy theorem. Class. Quant. Grav. 21, L59–L63 (2004)
5. Chruściel, P.: A poor man’s positive energy theorem: II. Null geodesics. Class. Quant. Grav. 21, 4399–4415 (2004)