Abstract

In the present paper we develop an algorithm for all spherically symmetric anisotropic charged fluid distributions. Considering a new source function nu (r) we find a set of solutions which is physically well behaved and represents compact stellar models. A detailed study specifically shows that the models actually correspond to strange stars in terms of their mass and radius. In this connection we investigate several physical properties like energy conditions, stability, mass–radius ratio, electric charge content, anisotropic nature and surface redshift through graphical plots and mathematical calculations. All the features from these studies are in excellent agreement with the already available evidence in theory as well as observations.

Highlights

  • The possibility that self-gravitating stars could contain a non-vanishing net charge was first pointed out by Rosseland [1] and later on by several other researchers [2,3,4] with different view points

  • In this work we have presented a set of new solutions for an anisotropic charged fluid distribution in the framework of General Theory of Relativity

  • As an additional condition which simplifies the physical system of space-time we consider a special source function in terms of the metric potential ν

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Summary

Introduction

The possibility that self-gravitating stars could contain a non-vanishing net charge was first pointed out by Rosseland [1] and later on by several other researchers [2,3,4] with different view points. There are two aspects of this assumption behind the strange star: (i) theoretically to explain the exotic phenomena of gamma ray bursts and soft gamma ray repeaters [30,31], and (ii) observational confirmation of SAX J1808.4-3658 as one of the candidates for a strange star by the Rossi X-ray Timing Explorer [32] It was Ruderman [33] who investigated the idea that nuclear matter may have anisotropic features at least in certain very high density ranges (>1015 gm/cm3), where the nuclear interaction must be treated relativistically.

The field equations for charged and anisotropic matter distribution
R gi 2 j
A class of new solutions for charged anisotropic stellar models
Matching and boundary conditions
Physical acceptability conditions for anisotropic stellar models
Regularity and reality conditions
Case 3
Case 6
Energy conditions
Method 1
Method 2
Method 3
Electric charge
Pressure anisotropy
Surface redshift
Allowable mass-to-radius ratio
Validity with strange star candidates
Conclusion

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