Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism

Abstract

We obtain dS and AdS generalized Reissner-Nordstrom like black hole geometries in a curved D3-brane frame-work, 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.

arXiv comment7-pages

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• Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane
• Shell-mediated tunnelling between (anti-)de Sitter vacua
• Canonical Ensemble Model for the Black Hole Quantum Tunneling Radiation
• Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model
• Phantom scalar emission in the Kerr black hole spacetime
• Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions