Trapped surfaces in a hadronic fluid
General Relativity and Quantum Cosmology
2015-06-11 v3 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1210.3824,
title = {Trapped surfaces in a hadronic fluid},
author = {Neven Bilic and Dijana Tolic},
journal= {arXiv preprint arXiv:1210.3824},
year = {2015}
}
Comments
24 pages, 6 figures, misprints corrected, a comment added in conclusions, accepted in Phys. Rev. D