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A 'perpetuum motion of third type' in theories violating the weak energy condition

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If you have a question about this talk, please contact David Kubiznak.

The one-dimensional dynamics of a classical ideal ‘exotic’ fluid with equation of state p=p(ϵ) negative violating the weak energy condition is discussed. Under certain assumptions it is shown that the well-known Hwa-Bjorken exact solution of one-dimensional relativistic hydrodynamics is confined within the future/past light cone and that the total energy of such a solution is equal to zero and that there are regions within the light cone with negative (n) and positive (p) total energies. For certain equations of state there is a continuous energy transfer from the (n)-regions to the (p)-regions resulting in indefinite growth of energy in the (p)-regions with time, which may be interpreted as action of a specific ‘Perpetuum Motion’. It is conjectured that theories plagued by solutions of similar type should be discarded as inherently unstable

This talk is part of the DAMTP Friday GR Seminar series.

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