Cauchy Horizons, Thermodynamics and Closed Time-like Curves in Planar Supersymmetric Space-times

Abstract

We study geodesically complete, singularity free space-times induced by supersymmetric planar domain walls interpolating between Minkowski and anti-de Sitter ($Ad{S}_4$) vacua. A geodesically complete space-time without closed time-like curves includes an infinite number of semi-infinite Minkowski space-times, separated from each other by a region of $Ad{S}_4$ space-time. These space-times are closely related to the extreme Reissner Nordstr\" om (RN) black hole, exhibiting Cauchy horizons with zero Hawking temperature, but in contrast to the RN black hole there is no entropy. Another geodesically complete extension with closed time-like curves involves space-times connecting a finite number of semi-infinite Minkowski space-times.

11 pages, 1 figure appended, phyzzx

References in corpus (6)

• Supersymmetry as a Cosmic Censor
• Static Domain Walls in N=1 Supergravity
• Nonperturbative Stability of Supergravity and Superstring Vacua
• Dilaton Black Holes Near the Horizon
• Splitting of an Extremal Reissner-Nordström Throat via Quantum Tunneling
• Gravitational Effects in Supersymmetric Domain Wall Backgrounds

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• Naked singularities in dilatonic domain wall space-times
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• Extreme Domain Wall--Black Hole Complementarity in N=1SUPERGRAVITY with a General Dilaton Coupling
• Flat World of Dilatonic Domain Walls
• Supersymmetric Dyonic Black Holes in Kaluza-Klein Theory
• Addendum to Supersymmetric Dyonic Black Holes in Kaluza-Klein Theory
• Non-Extreme and Ultra-Extreme Domain Walls and Their Global Space-Times
• Domain Walls and Massive Gauged Supergravity Potentials
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• Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant
• S^1 \times S^2 as a bag membrane and its Einstein-Weyl geometry