Speaker
Description
We study the structure of relativistic stars in R+alpha*R^2 theory using the method of matched asymptotic expansion to handle the higher order derivatives in field equations arising from the higher order curvature term. We find solutions, parametrized by $\alpha$, for uniform density stars matching to the Schwarzschild solution outside the star. We obtain the mass-radius relations and study the dependence of maximum mass on alpha. We find that M_{max} is proportional to alpha^(-3/2) for values of alpha larger than 10 km^2. For each alpha the maximum mass configuration has the biggest compactness parameter (eta = GM/Rc^2) and we argue that the general relativistic stellar configuration corresponding to alpha=0 is the most compact among these.