4 papers
Einstein's Equations in Electromagnetic Media
Eren Erberk Erkul, Ulf Leonhardt
In this paper, we extend Plebanski's mapping to encode the Einstein equations in ADM form within a bianisotropic electromagnetic medium. We realise this by translating the ADM cons…
The Unruh Effect in Relativistic Fluids
Eren Erberk Erkul
We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics…
Dispersion in Analogue Gravity
Eren Erberk Erkul, Ulf Leonhardt
Analogue models of gravity, from Newton to Unruh, have evolved from simple fluid--mechanical models to sophisticated modern experiments. They have shown the robustness of Hawking r…
Singularities as Solitons? Quantum Vacuum Architecture of Black Holes
Eren Erberk Erkul
We propose that black holes are \emph{soliton-esque} objects, where gravitational collapse is balanced by quantum vacuum dispersion, modeled via \(R+αR^{2}\) gravity. Classical si…