Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

TL;DR

This paper demonstrates the theoretical possibility of constructing Lorentzian wormholes within Eddington-inspired Born-Infeld gravity without violating energy conditions, identifying parameter regimes where wormholes or black holes exist, and ensuring physical viability.

Contribution

It introduces a class of wormhole solutions in Eddington-inspired Born-Infeld gravity that do not violate energy conditions and explores their parameter space and physical constraints.

Findings

Wormholes exist below a critical parameter value.

Above the critical value, regular black holes are found.

Lower bounds on parameters ensure tidal acceleration is Earth-like.

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 $\left(\frac{Q}{M}\right)_c\approx 1.144$.