# Annual NewCompStar Conference 2016

Apr 25 – 29, 2016
Istanbul
Europe/Istanbul timezone

## Relativistic stars in Starobinsky gravity with matched asymptotic expansion

Apr 29, 2016, 2:40 PM
20m
Bogazici University-Rectorate Building (Istanbul)

### Bogazici University-Rectorate Building

#### Istanbul

Boğaziçi University 34342 Bebek/Istanbul Turkey

### Speaker

Mr Sercan Çıkıntoğlu

### 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.