Implications of tachyon-like matter for superdense stars

A new equation of state of superdense matter is proposed. It is derivable by treating superdense matter as a perfect, degenerate tachyon gas. Yet the velocity of sound in the medium, 0≤β²<1/2, which this equation leads to, satisfies the inequality β. Model calculations for superdense stars based on this equation of state are presented. By appropriately choosing a certain parameter, dynamical stability can be achieved for arbitrarily large central densities. Also, a somewhat larger than usual value for the maximum mass is obtained.