Hydrodynamics in the Carrollian regime
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912812656230400 |
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| author | Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish Soni, Pushkar |
| author_facet | Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish Soni, Pushkar |
| contents | Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the physics effectively Carrollian. In this paper, we explore the structure of hydrodynamics in what can be termed as the Carrollian regime, where instead of keeping only the leading terms in the $c\to 0$ limit of relativistic hydrodynamics, we perform a small-$c$ expansion and retain the subleading terms as well. We do so both for perfect fluids as well as viscous fluids incorporating first order derivative corrections. As apposite applications of the formalism, we utilize the subleading terms to compute modifications to the Bjorken and Gubser flow equations which bring in, in particular, dependence on rapidity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_18763 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hydrodynamics in the Carrollian regime Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish Soni, Pushkar High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the physics effectively Carrollian. In this paper, we explore the structure of hydrodynamics in what can be termed as the Carrollian regime, where instead of keeping only the leading terms in the $c\to 0$ limit of relativistic hydrodynamics, we perform a small-$c$ expansion and retain the subleading terms as well. We do so both for perfect fluids as well as viscous fluids incorporating first order derivative corrections. As apposite applications of the formalism, we utilize the subleading terms to compute modifications to the Bjorken and Gubser flow equations which bring in, in particular, dependence on rapidity. |
| title | Hydrodynamics in the Carrollian regime |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2409.18763 |