Relativistic dissipative fluids in the trace-fixed particle frame: hyperbolicity, causality and stability

detalle del documento

IDENTIFICACIÓN

oai:arXiv.org:2412.03712

Tema

General Relativity and Quantum Cos... Astrophysics - High Energy Astroph... High Energy Physics - Theory

Autor

Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier

Categoría

ciencias: astrofísica

Año

2024

fecha de cotización

11/12/2024

Palabras clave

frame theory

Métrico

Resumen

We propose a first-order theory of dissipative fluids in the trace-fixed particle frame, which is similar to Eckart's frame except that the temperature is determined by fixing the trace of the stress-energy tensor.

Our theory is hyperbolic and causal provided a single inequality holds.

For low wave numbers, the expected damped modes in the shear, acoustic, and heat diffusion channels are recovered.

Stability of global equilibria with respect to all wave numbers is also analyzed.

The conditions for hyperbolicity, causality and stability are satisfied for a simple gas of hard spheres or disks.

;Comment: 10 pages, 2 figures

Salazar, J. Félix,García-Perciante, Ana Laura,Sarbach, Olivier, 2024, Relativistic dissipative fluids in the trace-fixed particle frame: hyperbolicity, causality and stability