Apr 25 – 29, 2016
Europe/Istanbul timezone

Relativistic stars in Starobinsky gravity with matched asymptotic expansion

Apr 29, 2016, 2:40 PM
Bogazici University-Rectorate Building (Istanbul)

Bogazici University-Rectorate Building


Boğaziçi University 34342 Bebek/Istanbul Turkey


Mr Sercan Çıkıntoğlu


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.

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