Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity

Abstract

Within the framework of the recent Eddington-inspired Born-Infeld (EiBI) theory we study gravitational field around an $SO(3)$ global monopole. The solution also suffers from the deficit solid angle as in the Barriola-Vilenkin metric but shows a distinct feature that cannot be transformed away unless in the vanishing EiBI coupling constant, $\kappa$. When seen as a black hole eating up a global monopole, the corresponding Schwarzschild horizon is shrunk by $\kappa$. The deficit solid angle makes the space is globally not Euclidean, and to first order in $\kappa$ (weak-field limit) the deflection angle of light is smaller than its Barriola-Vilenkin counterpart.