On “many black hole” vacuum space-times
نویسندگان
چکیده
We analyze the horizon structure of families of space times obtained by evolving initial data sets containing apparent horizons with several connected components. We show that under certain smallness conditions the outermost apparent horizons will also have several connected components. We further show that, again under a smallness condition, the maximal globally hyperbolic development of the many black hole initial data constructed in [9], or of hyperboloidal data of [19], will have an event horizon, the intersection of which with the initial data hypersurface is not connected. This justifies the “many black hole” character of those spacetimes.
منابع مشابه
The 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 کاملv 1 9 O ct 1 99 6 Uniqueness of stationary , electro – vacuum black holes revisited
In recent years there has been some progress in the understanding of the global structure of stationary black hole space–times. In this paper we review some new results concerning the structure of stationary black hole space–times. In particular we prove a corrected version of the “black hole rigidity theorem”, and we prove a uniqueness theorem for static black holes with degenerate connected h...
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 کاملspace-times with a negative cosmological constant
We construct a large class of new singularity-free static Lorentzian fourdimensional solutions of the vacuum Einstein equations with a negative cosmological constant. The new families of metrics contain space-times with, or without, black hole regions. Two uniqueness results are also established.
متن کاملExotic black hole solution in teleparallel theory of (2+1)-dimensional gravity
A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant. Remarkable is the fact that this solution gives a black hole in a “flat-land” in the Einstein theory and a Newtonian limit. Coordinate transformations to “Mi...
متن کامل