Conformal Fourth-Rank Gravity

Victor Tapia, A. L. Marrakchi, M. Cataldo

We consider the consequences of describing the metric properties of space- time through a quartic line element $d{s}^4=G_{\mu \nu \lambda \rho }d{x}^{\mu }d{x}^{\nu }d{x}^{\lambda }d{x}^{\rho }$. The associated "metric" is a fourth-…