A remark on the positive-energy theorem
- 1 November 1986
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 3 (6) , L115-L121
- https://doi.org/10.1088/0264-9381/3/6/002
Abstract
The problem of the weakest possible boundary conditions for the positive-energy theorem is discussed. Examples of asymptotically flat (in some sense) metrics violating this theorem are given. A class of metrics which have well defined infinite ADM mass is presented.Keywords
This publication has 11 references indexed in Scilit:
- Gauge choice in Witten's energy expressionCommunications in Mathematical Physics, 1985
- Positivity of the Bondi energyJournal of Mathematical Physics, 1984
- Existence theorem for solutions of Witten’s equation and nonnegativity of total massJournal of Mathematical Physics, 1982
- A new proof of the positive energy theoremCommunications in Mathematical Physics, 1981
- The boost problem in general relativityCommunications in Mathematical Physics, 1981
- Proof of the positive mass theorem. IICommunications in Mathematical Physics, 1981
- On conserved quantities in general relativityJournal of Mathematical Physics, 1979
- Arnowitt-Deser-Misner energy and g00Physics Letters A, 1978
- A unified treatment of null and spatial infinity in general relativity. I. Universal structure, asymptotic symmetries, and conserved quantities at spatial infinityJournal of Mathematical Physics, 1978
- Uber Die Ausdrucke Der Gesamtenergie Und Des Gesamtimpulses Eines Materiellen Systems in Der Allgemeinen RelativitatstheorieAnnals of Mathematics, 1939