The geometry of RN-AdS fluids
High Energy Physics - Theory
2020-04-15 v1 General Relativity and Quantum Cosmology
Abstract
We establish the parameter space geometry of a fluid system characterized by two constants, whose equation of state mimics that of the RN-AdS black hole. We call this the RN-AdS fluid. We study the scalar curvature on the parameter space of this system, and show its equivalence with the RN-AdS black hole, in the limit of vanishing specific heat at constant volume. Further, an analytical construction of the Widom line is established. We also numerically study the behavior of geodesics on the parameter space of the fluid, and find a geometric scaling relation near its second order critical point.
Cite
@article{arxiv.1912.01183,
title = {The geometry of RN-AdS fluids},
author = {Joy Das Bairagya and Kunal Pal and Kuntal Pal and Tapobrata Sarkar},
journal= {arXiv preprint arXiv:1912.01183},
year = {2020}
}
Comments
1+10 Pages, LaTeX, 3 figures