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arxiv: 1210.3824 · v3 · pith:2J3A762Cnew · submitted 2012-10-14 · 🌀 gr-qc · hep-ph· hep-th

Trapped surfaces in a hadronic fluid

classification 🌀 gr-qc hep-phhep-th
keywords fluidcurvedequationflowhadronicpionrelativisticspacetime
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Pion propagation in a hadronic fluid with a non-homogeneous relativistic flow is studied in terms of the linear sigma model. The wave equation turns out to be equivalent to the equation of motion for a massless scalar field propagating in a curved spacetime geometry. The metric tensor depends locally on the soft pion dispersion relation and the four-velocity of the fluid. For a relativistic flow in curved spacetime the apparent and trapping horizons may be defined in the same way as in general relativity. An expression for the analog surface gravity is derived.

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