Anisotropic generalization of Buchdahl bound for specific stellar models

@inproceedings{Sharma2021AnisotropicGO,
  title={Anisotropic generalization of Buchdahl bound for specific stellar models},
  author={Ranjan Sharma and Arpita Ghosh and Soumik Bhattacharya and S. Das},
  year={2021}
}
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 ≤ 8/9. Our investigation shows a direct link between the maximum allowed compactness and pressure anisotropy vi-a-vis… Expand

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References

SHOWING 1-10 OF 19 REFERENCES
Effect of pressure anisotropy on Buchdahl-type relativistic compact stars
We consider exact models for dense relativistic stars with anisotropic pressures and containing Buchdahl-type spacetime geometry. The Buchdahl condition can be transformed to an Euler–Cauchy equationExpand
EXACT MODELS FOR ANISOTROPIC RELATIVISTIC STARS
We present a class of exact solutions of the Einstein gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solution is represented inExpand
A new exact anisotropic solution of embedding class one
Abstract.We have presented a new anisotropic solution of Einstein’s field equations for compact-star models. Einstein’s field equations are solved by using the class-one condition (S.N. Pandey, S.P.Expand
MAXIMUM MASS OF A CLASS OF COLD COMPACT STARS
We calculate the maximum mass of the class of compact stars described by the Vaidya–Tikekar27 model. The model permits a simple method of systematically fixing bounds on the maximum possible mass ofExpand
Exact relativistic model for a superdense star
Assuming that the physical 3-spacet = const in a superdense star is spheroidal, a static spherically symmetric model based on an exact solution of Einstein’s equations is given which will permitExpand
Local anisotropy in self-gravitating systems
Abstract We review and discuss possible causes for the appearance of local anisotropy (principal stresses unequal) in self-gravitating systems and present its main consequences. We consider bothExpand
Anisotropic compact stellar model of embedding class-I satisfying Karmarkar’s condition in Vaidya and Tikekar spheroidal geometry
We present a class of solutions for a spherically symmetric anisotropic matter distribution in Vaidya and Tikekar spheroidal geometry. Making use of the Vaidya and Tikekar (VT) metric ansatz (JExpand
Minimum mass–radius ratio for charged gravitational objects
We rigorously prove that for compact charged general relativistic objects there is a lower bound for the mass–radius ratio. This result follows from the same Buchdahl type inequality for chargedExpand
Absolute stability limit for relativistic charged spheres
We find an exact solution for the stability limit of relativistic charged spheres for the case of constant gravitational mass density and constant charge density. We argue that this provides anExpand
Buchdahl compactness limit and gravitational field energy
The main aim of this paper is essentially to point out that the Buchdahl compactness limit of a static object is given by \it{gravitational field energy being less than or equal to half of itsExpand
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