Light Cone analysis of relativistic first-order in the gradients hydrodynamics

Details Light Cone analysis of relativistic first-order in the gradients hydrodynamics Light Cone analysis of relativistic first-order in the gradients hydrodynamics

2010-12-02

arxiv.org/abs/1012.0505v1

AIP Conf. Proc. 1312 57 AIP Conference Proceedings 1312 AIP Conference Proceedings 1312 AIP Conference Proceedings 1312 AIP Co

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures

Scientific paper

This work applies a Rayleigh-Brillouin light spectrum analysis in order to establish a causality test by means of a frequency cone. This technique allows to identify forbidden and unforbidden regions in light scattering experiments and establishes if a set of linearized transport equations admits causal solutions. It is shown that, when studying a relativistic fluid with its acoustic modes interacting with light, Eckart's formalism yields a non causal behavior. In this case the solutions describing temperature, density and pressure fluctuations are located outside the frequency cone. In contrast, the set of equations that arises from modified Eckart's theory (based on relativistic kinetic theory) yields solutions that lie within the cone, so that they are causal.

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