Abstract
We have derived the analytic solutions of dissipative relativistic spin hydrodynamics with Gubser expansion. Following the standard strategy of deriving the solutions in a Gubser flow, we take the Weyl rescaling and obtain the energy-momentum and angular momentum conservation equations in the space-time. We then derive the analytic solutions of spin density, spin potential and other thermodynamic in space-time and transform them back into Minkowski space-time . In the Minkowski space-time, the spin density and spin potential including the information of radial expansion decay as and in large limit, with being proper time and being the characteristic length of the system, respectively. Moreover, we observe the nonvanishing spin corrections to the energy density and other dissipative terms in the Belinfante form of dissipative spin hydrodynamics. Our results can also be used as test beds for future simulations of relativistic dissipative spin hydrodynamics.
- Received 9 January 2022
- Accepted 13 June 2022
DOI:https://doi.org/10.1103/PhysRevD.105.114050
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society