Looking for static interior solutions of Buchdahl star with $p_r=0,p_t=k\rho$ in general relativity and pure Lovelock theories

Shauvik Biswas, Chiranjeeb Singha

We find static fluid solutions of Einstein and pure Lovelock equations with $p_r=0$, $p_t=k\rho$, which could be possible models for the interior of a Buchdahl-like star. Buchdahl sta…