Controllability of nonholonomic black holes systems

This paper studies the sub-Lorentz-Vranceanu geometry and the optimal control of nonholonomic black hole systems. This is strongly connected to the possibility of describing a nonholonomic black hole system as kernel of a Gibbs-Pfaff form or by the span of four appropriate vector fields. Joining techniques from sub-Riemannian geometry, optimal control and thermodynamics, we bring into attention new models of black holes systems. These are reflected by the original results: a Lorentz-Vranceanu geometry on the total space, a new sub-Lorentz-Vranceanu geometry, a new stress-energy-momentum tensor, original solutions to Einstein field equations, and the controllability of nonholonomic black holes systems by uni-temporal or bi-temporal controls.