The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior
نویسندگان
چکیده
منابع مشابه
Towards a classification of static electrovacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior
We show that static electrovacuum black hole spacetimes containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of the event horizon do not exist, under the supplementary hypothesis that all degenerate components of the event horizon have charges of the same sign. This extends previous uniqueness theorems of Simon and...
متن کاملThe classification of static vacuum space–times containing an asymptotically flat spacelike hypersurface with compact interior
We prove non–existence of static, vacuum, appropriately regular, asymptotically flat black hole space–times with degenerate (not necessarily connected) components of the event horizon. This finishes the classification of static, vacuum, asymptotically flat domains of outer communication in an appropriate class of space–times, showing that the domains of outer communication of the Schwarzschild ...
متن کاملThe classification of static electro–vacuum space–times containing an asymptotically flat spacelike hypersurface with compact interior
We show that static electro–vacuum black hole space–times containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non–degenerate components of the event horizon do not exist. This is done by a careful study of the near-horizon geometry of degenerate horizons, which allows us to eliminate the last restriction of the static electro-vacuum no-hai...
متن کاملVacuum spacetimes with a spacelike, hypersurface-orthogonal Killing vector: reduced equations in a canonical frame
The Newman-Penrose equations for spacetimes having one spacelike Killing vector are reduced – in a geometrically defined “canonical frame” – to a minimal set, and its differential structure is studied. Expressions for the frame vectors in an arbitrary coordinate basis are given, and coordinate-independent choices of the metric functions are suggested which make the components of the Ricci tenso...
متن کاملConformal Classes of Asymptotically Flat, Static Vacuum Data
We show that time-reflection symmetric, asymptotically flat, static vacuum data which admit a non-trivial conformal rescaling which leads again to such data must be axi-symmetric and admit a conformal Killing field. Moreover, it is shown that there exists a 3-parameter family of such data. PACS: 04.20.Ex, 04.20.Ha, 04.20.Jb
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1999
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/16/3/004