A note on thin-shell wormholes with charge in F(R)-gravity

S Habib Mazharimousavi

doi:10.1140/epjc/s10052-018-6095-3

S Habib Mazharimousavi

Open Access

https://doi.org/10.1140/epjc/s10052-018-6095-3

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Abstract

In their recent work (Eiroa and Aguirre in Eur Phys J C 76:132, 2016), Eiroa and Aguirre introduced thin-shell wormholes in Fleft( Rright) =R+alpha R^{2}-gravity coupled with the Maxwell electromagnetic field. Here in this note we shall address an interesting feature of their results which has been missed. It will be shown that thin-shell wormhole can not be formed in the black hole spacetime solution of this theory but instead there are rooms for making stable thin-shell wormholes in non-black hole bulk spacetime as was noted in Eiroa and Aguirre (2016). This study is not a comment on very correct results of Eiroa and Aguirre (2016) but instead it is a complementary result to their paper.

Highlights

Thin-shell wormhole in modified theory of gravity, namelyF(R)-gravity, seems to be more restrictive than its former version in R-gravity due to the modified junction conditions introduced in [2]
In [1], Eiroa and Aguirre constructed thinshell wormholes in F (R) = R + α R2-gravity coupled with the Maxwell’s electrodynamic field in the framework of constant curvature i.e., R = R0 = const. spherically symmetric bulk spacetime
Due to the modified junction conditions, one should consider additional constraint on the radius of the throat which is assumed to be larger than the radius of the event horizon

Summary

Introduction

F(R)-gravity, seems to be more restrictive than its former version in R-gravity due to the modified junction conditions introduced in [2]. Unlike R-gravity where the standard Israel junction conditions [3,4,5] are applicable and there is no restriction on choosing the radius of the throat except it has to be larger than the possible event horizon, in F (R) -gravity it has to satisfy Eq (12) as well. This is because of the continuity of the trace of the extrinsic curvature in F (R)-gravity [2] i.e.,.

The new observation

Conclusion