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2022•Research SquareOpen access

Time Varying Deceleration Parameter in Cosmological Models Using Optimal Control

Moutaz Ramadan

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Abstract

Abstract Constructed homogeneous and isotropic Friedmann Robertson Walker(FRW) cosmological model with time dependent varying deceleration parameter and have been studied to compare its behaviorin the Universe models. The Einstein’s field equations have beensolved by applying an optimal control method and obtained generalized Hubble’s parameter in FRW space-time. We also obtain the energy density and the pressure for varies Universe models.

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Abstract Constructed homogeneous and isotropic Friedmann Robertson Walker(FRW) cosmological model with time dependent varying deceleration parameter and have been studied to compare its behaviorin the Universe models. The Einstein’s field equations have beensolved by applying an optimal control method and obtained generalized Hubble’s parameter in FRW space-time. We also obtain the energy density and the pressure for varies Universe models.

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Available abstract

Abstract Constructed homogeneous and isotropic Friedmann Robertson Walker(FRW) cosmological model with time dependent varying deceleration parameter and have been studied to compare its behaviorin the Universe models. The Einstein’s field equations have beensolved by applying an optimal control method and obtained generalized Hubble’s parameter in FRW space-time. We also obtain the energy density and the pressure for varies Universe models.

Key concepts: Friedmann–Lemaître–Robertson–Walker metric, Deceleration parameter, Hubble's law, Isotropy, Physics, Universe, Homogeneous, Dark energy

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