[HTML][HTML] Anisotropic generalization of Buchdahl bound for specific stellar models
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 2
M/R ≤ 8/9 2 M/R≤ 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.
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 2
M/R ≤ 8/9 2 M/R≤ 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.
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 . Our investigation shows a direct link between the maximum allowed compactness and pressure anisotropy vi-a-vis geometry of the associated 3-space.
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