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      Time Machines and AdS Solitons with Negative Mass

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          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 K\"ahler 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.

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          Black holes in higher dimensional space-times

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            The Black Hole in Three Dimensional Space Time

            The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space appears as a negative energy state separated by a mass gap from the continuous black hole spectrum. Evaluation of the partition function yields that the entropy is equal to twice the perimeter length of the horizon.
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              Gravitational multi-instantons

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                Author and article information

                Journal
                2016-12-30
                Article
                1701.00006
                37431d82-9aac-4a0a-ad7d-986c84f26ffc

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Latex, 32 pages
                hep-th gr-qc

                General relativity & Quantum cosmology,High energy & Particle physics
                General relativity & Quantum cosmology, High energy & Particle physics

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