Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

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 $\alpha$ ($p_{\theta }=\alpha \rho$) to have wormholes. We also put a lower limit on both the theory parameter $|\kappa |$ 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 ${\left(\frac{Q}{M}\right)}_c\approx 1.144$.

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

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