The Relativistic Heat Equation on Flat Friedman Space time.

Event Start
Event End


Exact solutions of the relativistic hyperbolic heat equation on a at Friedman space time metric are obtained. These exact solutions are obtained in three cases of at Friedman model which correspond to radiation, matter and dark energy-dominated universe models. In particular, in dark energy dominated universe case a closed form solution is obtained for which using appropriate boundary conditions an interesting exact solution is derived. This solution suggests that the temperature of the universe drops as it expands by a scale of exponential function.

Brief Biography

Usamah Al-Ali is an assistant professor of mathematics in the Saudi Electronic university. His research interests focus on Einstein field equations, spacetime symmetries in General Relativity and f(R) modified gravity theory.