SPACE, TIME AND FUNDAMENTAL INTERACTIONS

Russian scientific journal

ISSN 2226-8812
Prostranstvo, vrema i fundamental’nye vzaimodejstvia
Parallel title: Space, time and fundamental interactions

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2025, no. 2

AN OPTIMAL CONTROL APPROACH FOR COSMOLOGICAL MODELS IN LYRA’S GEOMETRY

Haggag S., Ramadan M.

The problem of constructing cosmological models within the framework of Lyra’s geometry is considered. An optimal control approach is proposed for constructing a closed cosmological model. An optimal control problem is formulated, whereby the objective function, to be maximized, is the time to stop contraction. Optimality conditions are derived and a partial solution is obtained.

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Keywords: cosmological models, Einstein’s equations, Lyra’s manifold, optimal control

UDC: 524.83

PACS: 98.80.Cq

DOI: 10.17238/issn2226-8812.2025.2.118-123

Please cite this article in English as:
Haggag S., Ramadan M. An Optimal Control Approach for Cosmological Models in Lyra’s Geometry. Space, Time and Fundamental Interactions, 2025, no. 2, pp. 118–123.