Positivity of the Bondi energy
- 1 April 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (4) , 1004-1008
- https://doi.org/10.1063/1.526267
Abstract
We give a new proof that the Bondi momentum is time-like and future directed. This is done by extending a theorem showing the existence of solutions of Witten’s equation on a complete, asymptotically flat surface, to the case where the surface is asyptotically hyperbolic and spans a cut Ŝ of ℐ+. By choosing appropriate boundary conditions the positivity of the Bondi energy is also shown for the case where the surface is no longer free of inner boundaries but is internally bounded by the union of a finite number of marginally trapped surfaces. This argument also applies to the case of asymptotically flat surfaces.Keywords
This publication has 12 references indexed in Scilit:
- Positive mass theorems for black holesCommunications in Mathematical Physics, 1983
- A relation between local and total energy in general relativityCommunications in Mathematical Physics, 1982
- Proof That the Bondi Mass is PositivePhysical Review Letters, 1982
- Gravitational Energy Cannot Become NegativePhysical Review Letters, 1982
- A simple proof of the positivity of the Bondi massJournal of Physics A: General Physics, 1982
- Positivity of the Bondi gravitational massPhysics Letters A, 1981
- The positivity of the Bondi massJournal of Physics A: General Physics, 1981
- A new proof of the positive energy theoremCommunications in Mathematical Physics, 1981
- A new gravitational energy expression with a simple positivity proofPhysics Letters A, 1981
- The alinement of frames of reference at null infinity for asymptotically flat Einstein–Maxwell manifoldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975