Anisotropic generalization of Buchdahl bound for specific stellar models

Abstract

Anisotropy is one factor that appears to be significantly important in the studies of relativistic compact stars. In this paper, we make a generalization of the Buchdahl limit by incorporating an anisotropic effect for a selected class of exact solutions describing anisotropic stellar objects. In the isotropic case of a homogeneous distribution, we regain the Buchdahl limit $2M/R\le 8/9$. Our investigation shows a direct link between the maximum allowed compactness and pressure anisotropy vi-a-vis geometry of the associated $3$-space.

To appear in Euro. Phys. J C

References in corpus (3)

• Stability of the isotropic pressure condition
• Minimum mass-radius ratio for charged gravitational objects
• Absolute Stability Limit for Relativistic Charged Spheres

Cited by in corpus (1)

• Analytical model on mass limit of strange stars