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Nuclear Physics B259 (1985) 170-174 North-Holland Publishing Company
 

Summary: Nuclear Physics B259 (1985) 170-174
North-Holland Publishing Company
THE COLLAPSE OF AN ANTI-DE SITFER BUBBLE
L.F. ABBOTT*
Department of Physics, Brandeis University, Waltham, Massachusetts 02254, USA
Sidney COLEMAN t
Lyman Laboratory of Physics, Harvard Universi(v, Cambridge, Massachusetts 02138, USA
Received 15 April 1985
We prove that the ultimate fate of a bubble of negative energy density which forms in a
metastable universe of zero energy density is gravitational collapse. We improve on previous
treatments in that we allow for departures from O(3,1) symmetry in the initial state, so long as
they are not too great.
It is an intriguing possibility that the universe is currently in a metastable phase, a
false vacuum which will eventually decay into a phase of lower energy density. In the
semiclassical approximation, such decays occur through the formation and growth of
bubbles of the new phase inside the old phase [1]. The formation of the bubbles is a
quantum tunneling effect, but their subsequent growth is governed by the classical
equations of motion. If the current vacuum has zero-energy density, the bubble
interiors will have negative energy density; their geometries will resemble that of
anti-de Sitter space. Some years ago, Frank de Luccia and one of us argued that

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine