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Thin-shell wormholes from the regular Hayward black hole

2014    Halilsoy, M.; Ovgun, A.; Mazharimousavi, S. Habib

We revisit the regular black hole found by Hayward in <math><mrow><mn>4</mn></mrow></math> -dimensional static, spherically symmetric spacetime. To find a possible source for such a spacetime we resort to the nonlinear electrodynamics in general relativity. It is found that a magnetic field within this context gives rise to the regular Hayward black hole. By employing such a regular black hole we construct a thin-shell wormhole for the case of various equations of state on the shell. We abbreviate a general equation of state by <math><mrow><mi>p</mi><mo>=</mo><mi mathvariant="italic">ψ</mi><mo stretchy="false">(</mo><mi mathvariant="italic">σ</mi><mo stretchy="false">)</mo></mrow></math> where <math><mi>p</mi></math> is the surface pressure which is a function of the mass density <math><mrow><mo stretchy="false">(</mo><mi mathvariant="italic">σ</mi><mo stretchy="false">)</mo></mrow></math> . In particular, linear, logarithmic, Chaplygin, etc. forms of equations of state are considered. In each case we study the stability of the thin shell against linear perturbations. We plot the stability regions by tuning the parameters of the theory. It is observed that the role of the Hayward parameter is to make the TSW more stable. Perturbations of the throat with small velocity condition are also studied. The matter of our TSWs, however, remains exotic.