Bubbles Unbound: Bubbles of Nothing Without Kaluza-Klein
نویسنده
چکیده
I present analytic time symmetric initial data for five dimensions describing “bubbles of nothing” which are asymptotically flat in the higher dimensional sense, i.e. there is no Kaluza-Klein circle asymptotically. The mass and size of these bubbles may be chosen arbitrarily and in particular the solutions contain bubbles of any size which are arbitrarily light. This suggests the solutions may be important phenomenologically and in particular I show that at low energy there are bubbles which expand outwards, suggesting a new possible instability in higher dimensions. Further, one may find bubbles of any size where the only region of high curvature is confined to an arbitrarily small volume.
منابع مشابه
Bubbles Unbound II: AdS and the Single Bubble
I present further analytic time symmetric initial data for five dimensions describing “bubbles of nothing” which have no Kaluza-Klein circle asymptotically. The new solutions consist of a large family of single bubbles in both asymptotically flat and asymptotically AdS space. I also numerically construct gravitational solitons in AdS where the usual boundary conditions are modified geometricall...
متن کاملColliding Kaluza-Klein Bubbles
We construct an exact solution describing the collision of two Kaluza-Klein “bubbles of nothing” in 3+1 dimensions. When the bubbles collide, a curvature singularity forms which is hidden inside an event horizon. However, unlike the formation of ordinary black holes, in this case the spacetime resembles the entire maximally extended Schwarzschild solution. We also point out that there are inequ...
متن کاملWhen Black Holes Meet Kaluza-Klein Bubbles
We explore the physical consequences of a recently discovered class of exact solutions to five dimensional Kaluza-Klein theory. We find a number of surprising features including: (1) In the presence of a Kaluza-Klein bubble, there are arbitrarily large black holes with topology S. (2) In the presence of a black hole or a black string, there are expanding bubbles (with de Sitter geometry) which ...
متن کاملSequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes
We construct and analyze a large class of exact five-and six-dimensional regular and static solutions of the vacuum Einstein equations. These solutions describe sequences of Kaluza-Klein bubbles and black holes, placed alternately so that the black holes are held apart by the bubbles. Asymptotically the solutions are Minkowski-space times a circle, i.e. Kaluza-Klein space, so they are part of t...
متن کاملCollapse of Kaluza-Klein bubbles.
Kaluza-Klein theory admits “bubble” configurations, in which the circumference of the fifth dimension shrinks to zero on some compact surface. A three parameter family of such bubble initial data at a moment of timesymmetry (some including a magnetic field) has been found by Brill and Horowitz, generalizing the (zero-energy) “Witten bubble” solution. Some of these data have negative total energ...
متن کامل