Equation of State of a Strongly Coupled Perfect Fluid with Spin from Holography
Abstract
We derive the equation of state of a strongly coupled relativistic perfect fluid with finite spin in 2+1 dimensions using holography. The dual gravitational description is provided by a spinning black hole in AdS4, whose Hawking temperature, angular velocity, and Bekenstein-Hawking entropy determine the thermodynamic properties of the boundary fluid. We obtain the equation of state and analyze its local thermodynamic stability, finding a critical rotation above which the fluid becomes thermodynamically unstable providing a bound for the rotation of a strongly coupled quark gluon plasma at temperature T and angular velocity ω given by 4πT/ω> 2.77239. Remarkably, the same gravitational solution contains a second black hole associated with a second boundary. Although this black hole is non-spinning, its dual fluid rotates and possesses a distinct, ``exotic'' equation of state. Our results provide a holographic equation of state for strongly coupled matter with finite spin and establish a direct connection between black-hole rotation, intrinsic angular momentum, and the thermodynamic stability of relativistic fluids.
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BibTeX
@misc{anabalon2026equation,
title = {{Equation of State of a Strongly Coupled Perfect Fluid with Spin from Holography}},
author = {Andres Anabalon and Horatiu Nastase},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05630},
eprint = {2609.05630},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05630},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Equation of State of a Strongly Coupled Perfect Fluid with Spin from Holography
AU - Andres Anabalon
AU - Horatiu Nastase
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.05630
UR - https://arxiv.org/abs/2609.05630
AB - We derive the equation of state of a strongly coupled relativistic perfect fluid with finite spin in 2+1 dimensions using holography. The dual gravitational description is provided by a spinning black hole in AdS_4, whose Hawking temperature, angular velocity, and Bekenstein-Hawking entropy determine the thermodynamic properties of the boundary fluid. We obtain the equation of state and analyze its local thermodynamic stability, finding a critical rotation above which the fluid becomes thermodynamically unstable providing a bound for the rotation of a strongly coupled quark gluon plasma at temperature T and angular velocity ω given by 4πT/ω> 2.77239. Remarkably, the same gravitational solution contains a second black hole associated with a second boundary. Although this black hole is non-spinning, its dual fluid rotates and possesses a distinct, ``exotic'' equation of state. Our results provide a holographic equation of state for strongly coupled matter with finite spin and establish a direct connection between black-hole rotation, intrinsic angular momentum, and the thermodynamic stability of relativistic fluids.
ER -