Joule-Thomson expansion and tidal force effects of AdS black holes surrounded by Chaplygin dark fluid

TL;DR

This paper investigates the thermodynamic properties of AdS black holes surrounded by Chaplygin dark fluid, comparing them to Van der Waals fluids, and analyzes tidal forces affecting particles in such spacetimes.

Contribution

It introduces the study of Joule-Thomson expansion and tidal force effects in this specific black hole model, highlighting differences from asymptotically flat spacetimes.

Findings

Joule-Thomson and inversion curves are derived for the black holes.

Tidal forces do not vanish at infinity due to non-zero cosmological constant.

Geodesic deviation exhibits oscillating behavior influenced by spacetime parameters.

Abstract

This study examines a recently hypothesized black hole. We study the Joule-Thomson coefficient, the inversion temperature and also the isenthalpic curves in the $T_i -P_i$ plane. A comparison is made between the Van der Waals fluid and the black hole to study their similarities and differences. The Joule-Thomson coefficient, the inversion curves and the isenthalpic curves are discussed inAdS black holes surrounded by Chaplygin dark fluid. In $T -P$ plane, the inversion temperature curves and isenthalpic curves are obtained with different parameters. Next, we explore the radial timelike geodesics that leads us to explore the tidal force effects for a radially in-falling particle in such black hole spacetime. We also numerically solve the geodesic deviation equation for two nearby radial geodesics for a freely falling particle. Our analysis shows that contrary to the Schwarzschild spacetime, the tidal forces don't become zero at spatial infinity due to the lack of asymptotic flatness because of the presence of a non-zero cosmological constant. The geodesic separation profile shows an oscillating trend and depends on the dynamic spacetime parameters $q, B$ and $\Lambda$.