Resumen de La ecuación de Cauchy-Euler: ¿un caso límite de la ecuación de Friedmann?

Benito Hernández Bermejo

• Friedmann equation plays a major role in mathematical physics. Its explicit solution is in general impossible in the most realistic cases. In this work this equation is solved for several scenarios by means of perturbation methods. When the exact solution is known, the approximate solutions are seen to be its corresponding Taylor series, and thus convergent. These series solutions can reproduce in all cases the known qualitative features of the solutions. The use of this technique always reduces the problem to the solution of one particular Cauchy-Euler equation, which can then be considered as a limit case associated to the Friedmann equation.