Time Machines and AdS Solitons with Negative Mass

Abstract

We show that in D=2n+1 dimensions, when mass is negative and all angular momenta are non-vanishing, Kerr and Kerr-AdS metrics describe smooth time machines, with no curvature singularity. Turning off the angular momenta appropriately can lead to static AdS solitons with negative mass. Setting zero the cosmological constant yields a class of Ricci-flat Kähler metrics in D=2n dimensions. We also show that Euclidean-signatured AdS solitons with negative mass can also arise in odd dimensions. We then construct time machines in D=5 minimal gauged supergravity that carry only magnetic dipole charges. Turning off the cosmological constant, the time machine becomes massless and asymptotically flat. It can be described as a constant time bundle over the Eguchi-Hanson instanton.

Latex, 32 pages

References in corpus (5)

• General Kerr-NUT-AdS Metrics in All Dimensions
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Explicit Toric Metric on Resolved Calabi-Yau Cone
• Negative Mass Solitons in Gravity
• Resolutions of Cones over Einstein-Sasaki Spaces

Cited by in corpus (5)

• $D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality
• The Surprising Effectiveness of Weyl Gravity in Probing Quantum Corrections to AdS Black Holes
• BPS Kerr-AdS Time Machines
• A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole
• Degenerate Black Rings in $D=5$ Minimal Supergravity