Talk abstract details

A new approximate interior metric for a stationary compact perfect fluid with equation of state $\mu+(1-n)p=\mu_0$ is presented. The calculation has been made in the Cabezas-Martín-Molina-Ruíz scheme, where the solutions of the Einstein's equations in harmonic gauge are obtained in two simultaneous approximations: a Post-Minkowskian one in a parameter related with the mass of the source considered and the other one with its rotation velocity. The assumptions of homogeneus density and axisymmetry are made. Also, it is concluded that an object of this kind cannot be a source of Wahlquist's metric.