http://arxiv.org/abs/1604.02328
We study the structure of relativistic stars in $\mathcal{R}+\alpha \mathcal{R}^{2}$ 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 $M_{\max} \propto \alpha^{-3/2}$ for values of $\alpha$ larger than $10~{\rm km^2}$. 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.
S. Arapoglu, S. Cikintoglu and K. Eksi
Mon, 11 Apr 16
40/52
Comments: 18 pages, 7 figures
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