Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

Rajibul Shaikh

doi:10.1103/PhysRevD.92.024015

paper

Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

arXiv:1505.01314 · doi:10.1103/PhysRevD.92.024015

Abstract

We show that it is possible to construct a wide class of Lorentzian wormholes in Eddington-inspired Born-Infeld gravity with a stress energy which does not violate the weak or null energy condition. The wormholes exist in a certain region of the parameter space. In fact, it is shown that there is a critical value of a parameter defined in our work, below which we have wormholes. Above the critical value, we have a regular black hole spacetime. We put a restriction on the equation of state parameter $α$ ( $p_{θ} = α ρ$ ) to have wormholes. We also put a lower limit on both the theory parameter $∣ κ ∣$ and the throat radius, to restrict the tidal acceleration (at the throat) below one Earth gravity. As a special case of our general solution, we retrieve the wormhole supported by an electric field for a charge-to-mass ratio greater than the critical value $(\frac{Q}{M})_{c} \approx 1.144$ .

arXiv comment15 pages, 5 figures, revised version accepted for publication in Phys. Rev. D

Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

Abstract

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