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Anisotropic neutron stars by gravitational decoupling

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arxiv 1908.08194 v1 pith:CY7VBQCH submitted 2019-08-22 gr-qc

Anisotropic neutron stars by gravitational decoupling

classification gr-qc
keywords gravitationalsolutionanisotropicdecouplingj1808modelneutronobtain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we obtain an anisotropic neutron star solution by gravitational decoupling starting from a perfect fluid configuration which has been used to model the compact object PSR J0348+0432. Additionally, we consider the same solution to model the Binary Pulsar SAX J1808.4-3658 and X-ray Binaries Her X-1 and Cen X-3 ones. We study the acceptability conditions and obtain that the MGD--deformed solution obey the same physical requirements as its isotropic counterpart. Finally, we conclude that the most stable solutions, according to the adiabatic index and gravitational cracking criterion, are those with the smallest compactness parameters, namely SAX J1808.4-3658 and Her X-1.

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