Abstract
In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R × S2 background. We derive the energy and oscillation number relation for the deformed R × S2 in short string limit. Additionally, we derive the first order perturbation equation for pulsating string in this specific background. As a special case of the two parameter deformed background, we examine the stability of the pulsating string solution in one parameter deformed R × S2 and AdS3 background by setting one of the deformation parameters to zero.
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