On marginally outer trapped surfaces in stationary and static spacetimes

Classical and Quantum Gravity

Volumn 25, Issue 5, 2008, Pages

  Carrasco, Alberto ^a   Mars, Marc ^a  

^a UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43049098187     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/5/055011     Document Type: Article

References (21)

1. Miao P 2005 A remark on boundary effects in static vacuum initial data sets Class. Quantum Grav. 22 L53-9
2. Bunting G and Masood-ul-Alam A K M 1987 Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time Gen. Rel. Grav. 19 147-54
3. Mars M and Senovilla J M M 2003 Trapped surfaces and symmetries Class. Quantum Grav. 20 L293-300
4. Andersson L and Metzger J 2007 The area of horizons and the trapped region Preprint 0708.4252
5. Huisken G and Ilmanen T 2001 The inverse mean curvature flow and the Riemannian Penrose inequality J. Diff. Geom. 59 353-437
6. Beig R and Chruściel P T 1997 Killing initial data Class. Quantum Grav. 14 A83-92
7. Coll B 1977 On the evolution equations for Killing fields J. Math. Phys. 18 1918-22
8. Eisenhart L P 1966 Riemannian Geometry (Princeton, NJ: Princeton University Press)
9. Israel W 1970 Differential forms in general relativity Commun. Dublin Inst. Adv. Stud. A 19
10. Mars M 1999 A spacetime characterization of the Kerr metric Class. Quantum Grav. 16 2507-23
11. Chruściel P T 1999 The classification of static vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior Class. Quantum Grav. 16 661-87
12. Vishveshwara C V 1968 Generalization of the 'Schwarzschild surface' to arbitrary static and stationary metrics J. Math. Phys. 9 1319-22
13. Carter B 1969 Killing horizons and orthogonally transitive groups in space-time J. Math. Phys. 10 70-81
14. Heusler M 1996 Black Hole Uniqueness Theorems (Cambridge Lecture Notes in Physics vol 6) (Cambridge: Cambridge University Press)
15. Boyer R H 1969 Geodesic Killing orbits and bifurcate Killing horizons Proc. R. Soc. A 311 245-53
16. Gromoll D and Meyer W 1969 On differentiable functions with isolated critical points Topology 8 361-9
17. Schoen R 2004 Talk Given at the Miami Waves Conference (Jan. 2004)
18. Andersson L, Mars M and Simon W 2007 Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes Preprint 0704.2889
19. Hawking S W and Ellis G F R 1973 The large scale structure of space-time Cambridge Monographs on Mathematical Physics (Cambridge: Cambridge University Press)
20. Galloway G J 2000 Maximum principles for null hypersurfaces and null splitting theorems Ann. Poincaré Phys. Theory 1 543-67
21. Corvino J 2000 Scalar curvature deformation and a gluing construction for the Einstein constraint equations Commun. Math. Phys. 214 137-89