Nonlinear optimization on regular black hole solutions

Document Type : Full length research Paper


1 Department of Physics, College of Basic Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

2 Faculty member of Department of Mathematics, College of Math Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

3 Ibne Shahr Ashoob-e Saravi Student Research Center, Administration of Education, District 1, Sari, Iran


Using a nonlinear optimization approach, this paper seeks to find optimal solutions for different states of nonsingular black holes in noncommutative space-time that include nonlinear constraints of the inequality type. In order to solve the nonlinear optimization problem resulting from the physical model, the successive quadratic programming method is used. In the mentioned framework, an optimal maximum solution of the Lagrangian uncertainty function is obtained for the particular values of free parameters of the problem, so that the optimal state is somewhat independent of quantum effects and the solution corresponding to the classical state is achieved in very short distances. In other words, the final stage of evaporation of black holes depends only in part on the inherent property of manifold in noncommutative geometry and is independent of the magnetic charge. However, the noncommutative effects, albeit trivial, are individually sufficient to generate remnants at the end of black holes' lifetime and prevent the classical solution from being singular on a microscopic scale of space-time.


Main Subjects

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