Tunneling between de Sitter and anti-de Sitter black holes in a noncommutative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">D</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>-brane formalism

Abstract

We obtain de Sitter (dS) and anti-de Sitter (AdS) generalized Reissner-Nordstrom--like black hole geometries in a curved ${\mathrm{D}}_{3}$-brane framework, underlying a noncommutative gauge theory on the brane world. The noncommutative scaling limit is explored to investigate a possible tunneling of an AdS vacuum in string theory to dS vacuum in its low energy gravity theory. The Hagedorn transition is invoked into its self-dual gauge theory to decouple the gauge nonlinearity from the dS geometry, which in turn is shown to describe a pure dS vacuum.