U određenom dugovalnom limesu (d + 1)-dimenzionalne Einsteinove jednadžbe sa negativnom kozmološkom konstantom se reduciraju na d-dimenzionalne relativističke Navier-Stokesove jednadžbe. Ovaj fenomen naziva se podudaranje gravitacijske fizike i fizike fluida. Iako je ovaj fenomen izvorno otkriven u okviru AdS/CFT korespodencije, on se može promatrati sam za sebe, te omogućuje donošenje zaključaka kako iz gravitacijske, tako i iz fizike fluida. Prvo ćemo iznijeti i opisati osnovne hidrodinamičke koncepte i jednadžbe. Zatim ćemo iznijeti i opisati rješenja Einsteinove jednadžbe važna za daljnja razmatranja. Naposljetku ćemo pristupiti opisu samog podudaranja gravitacijske fizike i fizike fluida.

In a certain long-wavelength limit (d+1)-dimensional Einstein's equations with a negative cosmological constant reduce to the d-dimensional relativistic Navier-Stokes equations. This phenomenon is called the fluid/gravity correspondence. Although this phenomenon was originally discovered within the framework of the AdS/CFT correspondence, it can be observed on its own, and allows drawing conclusions from both gravity and fluid physics. First, we will present and describe the basic hydrodynamic concepts and equations. Then we will present and describe the solutions of Einstein's equations important for further considerations. Finally, we will approach the description of the fluid/gravity correspondence itself.