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

Amarjit Tamang; Alexander A. Potapov; Regina Lukmanova; Ramil Izmailov; Kamal K. Nandi

doi:10.1088/0264-9381/32/23/235028

paper

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

arXiv:1512.01451 · doi:10.1088/0264-9381/32/23/235028

Abstract

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 $κ$ .

20 pages, 3 figures

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

Abstract

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