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 $Lambda$.
Conclusions:
This study explores the characteristics of a recently hypothesized black hole and compares it to a Van der Waals fluid. The focus is on the Joule-Thomson coefficient, inversion temperature, and isenthalpic curves in the $T_i -P_i$ plane for AdS black holes surrounded by Chaplygin dark fluid.
The study also delves into radial timelike geodesics and analyzes the effects of tidal forces on radially in-falling particles in this black hole spacetime. The presence of a non-zero cosmological constant prevents the tidal forces from becoming zero at spatial infinity, unlike in the Schwarzschild spacetime. The geodesic separation profile is found to have an oscillating trend dependent on dynamic spacetime parameters.
Future Roadmap:
- Further investigation into the similarities and differences between the black hole and Van der Waals fluid, exploring other thermodynamic properties.
- Study the behavior of the inversion temperature curves and isenthalpic curves in the $T -P$ plane with different parameters to gain more insights into the behavior of the black hole.
- Explore the consequences of tidal forces and the lack of asymptotic flatness on the dynamics of particles falling into the black hole.
- Investigate the implications of oscillating geodesic separation profiles and their dependence on dynamic spacetime parameters $q, B,$ and $Lambda$.
- Consider applications of these findings to astrophysical scenarios involving black holes in the presence of cosmological constants.
Potential Challenges:
- Obtaining accurate measurements or simulations for the various thermodynamic properties and geodesic behaviors in the black hole spacetime.
- Understanding the underlying physical mechanisms that give rise to the observed similarities and differences between the black hole and Van der Waals fluid.
- Interpreting the implications of oscillating geodesic separation profiles and their relationship with dynamic spacetime parameters.
- Translating the findings of this study into practical applications in astrophysics and cosmology.
Potential Opportunities:
- Developing a deeper understanding of the thermodynamics and dynamics of black holes in the presence of Chaplygin dark fluid and cosmological constants.
- Advancing our knowledge of how tidal forces and non-asymptotically flat spacetimes affect the behavior of particles falling into black holes.
- Expanding our understanding of the connections between black holes and other physical systems, such as Van der Waals fluids.
- Applying the findings of this study to improve models and predictions for astrophysical phenomena involving black holes and cosmological constants.
Overall, this study provides valuable insights into the thermodynamics and dynamics of a newly hypothesized black hole, opening up avenues for further research in understanding its properties and behavior in relation to other physical systems. With continued investigation, these findings could contribute to advancements in astrophysics and cosmology.