Optimal control on nonholonomic black holes

Issue title: Proceedings of the San Marino Workshop on Astrophysics and Cosmology for Matter and Antimatter, Italy, September 5–9, 2011

Guest editors: Christian Corda

Article type: Research Article

Authors: Udrişte, Constantin

Affiliations: Department of Mathematics-Informatics, Faculty of Applied Sciences, University Polytechnic of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania. E-mail: udriste@mathem.pub.ro

Abstract: This paper studies a nonholonomic black hole system as kernel of a Gibbs-Pfaff form or by the span of four appropriate vector fields. Joining techniques from Riemannian geometry, optimal control and thermodynamics, we create a new geometrical model for black holes systems that produce meaningful results. We give the solution of a two-time optimal control problem describing the torsion of a nonholonomic black hole, taken as parameters of evolution the entropy and the angular momentum. Also we prove that the nonholonomic black holes systems can be controlled by uni-temporal or bi-temporal bang-bang controls.

Keywords: Nonholonomic black hole, Lorentz-Vrănceanu geometrization, torsion of a nonholonomic black hole, bang-bang controls

DOI: 10.3233/JCM-120465

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 13, no. 1-2, pp. 271-278, 2013