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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.03712 |
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| _version_ | 1866916711839563776 |
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| author | Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier |
| author_facet | Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier |
| contents | We propose a first-order theory of relativistic 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We propose a first-order theory of relativistic 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. |
| title | Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.03712 |