Uniqueness theorem for anti—de Sitter spacetime
- 15 December 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 30 (12) , 2447-2451
- https://doi.org/10.1103/physrevd.30.2447
Abstract
It is shown that anti—de Sitter spacetime is the unique solution to with which is strictly stationary and asymptotically anti—de Sitter. Thus, in the absence of horizons, there are no soliton solutions to Einstein's equation with negative cosmological constant. The analogous statement for de Sitter spacetime () is discussed and some preliminary results are obtained.
Keywords
This publication has 26 references indexed in Scilit:
- Positive mass theorems for black holesCommunications in Mathematical Physics, 1983
- Stability in gauged extended supergravityAnnals of Physics, 1982
- Positive energy in anti-de Sitter backgrounds and gauged extended supergravityPhysics Letters B, 1982
- Stability of gravity with a cosmological constantNuclear Physics B, 1982
- A new proof of the positive energy theoremCommunications in Mathematical Physics, 1981
- Proof of the positive mass theorem. IICommunications in Mathematical Physics, 1981
- The energy and the linear momentum of space-times in general relativityCommunications in Mathematical Physics, 1981
- Inflationary universe: A possible solution to the horizon and flatness problemsPhysical Review D, 1981
- On the proof of the positive mass conjecture in general relativityCommunications in Mathematical Physics, 1979
- On the Non-Existence of Regular Stationary Solutions of Relativistic Field EquationsAnnals of Mathematics, 1943