On the dynamics of exotic matter: towards creation of Perpetuum Mobile of third kind
arXiv:0909.0190 · doi:10.1016/j.physletb.2009.08.057
Abstract
The one-dimensional dynamics of a classical ideal 'exotic' fluid with equation of state 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. It is also demonstrated that the total energy of such a solution is equal to zero and that there are regions within the light cone with negative and positive total energies. For certain equations of state there is a continuous energy transfer from the -regions to the -regions resulting in indefinite growth of energy in the regions with time, which may be interpreted as action of a specific 'Perpetuum Mobile' (Perpetuum Motion). It is speculated that if it is possible to construct a three-dimensional non-stationary flow of an exotic fluid having a finite negative value of energy such a situation would also occur. Such a flow may continuously transfer positive energy to gravitational waves, resulting in a runaway. It is conjectured that theories plagued by such solutions should be discarded as inherently unstable.
accepted to Physics Letters B