Relativistic stars in Starobinsky gravity with the matched asymptotic expansions method

Abstract

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. We obtain the mass-radius relations and study the dependence of maximum mass on $\alpha$. We find that $M_{\max }$ is almost linearly proportional to $\alpha$. For each $\alpha$ the maximum mass configuration has the biggest compactness parameter ($\eta =GM/R{c}^2$), and we argue that the general relativistic stellar configuration corresponding to $\alpha =0$ is the least compact among these.

10 pages, 3 figures, matches the published version in PRD

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Cited by in corpus (6)

• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• Probing the existence of the ZTF Casimir wormholes in the framework of $f(\mathcal{R})$ gravity
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Vacuum solutions around spherically symmetric and static objects in the Starobinsky model
• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories