Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity
  We apply Kaluza's procedure to Eddington-inspired Born-Infeld action in gravity in five dimensions. The resulting action contains, in addition to the usual four-dimensional actions for gravity and electromagnetism, nonlinear couplings between the electromagnetic field strength and curvature. Considering the spherically symmetric solution as an example we find the lowest order corrections for the Reissner-Nordstr\"om metric and the electromagnetic field. 
Karan Fernandes and Amitabha Lahiri
gr-qc