On generalized wormhole in the Eddington inspired Born-Infeld (EiBI) gravity

In this paper, we wish to investigate certain observable effects in the recently obtained wormhole solution of the EiBI theory, which generalizes the zero mass Ellis-Bronnikov wormhole of general relativity. The solutions of EiBI theory contain an extra parameter $κ$ having the inverse dimension of the cosmological constant $Λ$, and is expected to modify various general relativistic observables such as the masses of wormhole mouths, tidal forces and light deflection. A remarkable result is that a non-zero $κ$ could prevent the tidal forces in the geodesic orthonormal frame from becoming arbitrarily large near a small throat radius $(r_0 \sim {0})$ contrary to what happens near a small Schwarzschild horizon radius $(M \sim 0)$. The role of $κ$ in the flare-out and energy conditions is also analysed, which reveals that the energy conditions are violated. We show that the exotic matter in the EiBI wormhole cannot be interpreted as phantom $(ω=(p_{r}/ ρ)<-1)$ or ghost field $ϕ$ of general relativity due to the fact that both $ρ$ and $p_{r}$ are negative for all $κ$.

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