The dual of nothing

Abstract

We consider ``bubbles of nothing'' constructed by analytically continuing\nblack hole solutions in Anti-de Sitter space. These provide interesting\nexamples of smooth time-dependent backgrounds which can be studied through the\nAdS/CFT correspondence. Our examples include bubbles constructed from\nSchwarzschild-AdS, Kerr-AdS and Reissner-Nordstrom AdS. The Schwarzschild\nbubble is dual to Yang-Mills theory on three dimensional de Sitter space times\na circle. We construct the boundary stress tensor of the bubble spacetime and\nrelate it to the properties of field theory on de Sitter.\n