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.

Controllability of nonholonomic black holes systems

CIANCIO, Vincenzo;UDRISTE, costantin
2013-01-01

Abstract

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.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2445021
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