Pulsating string solution and stability in two parameter \(\chi\)-deformed background
In this paper, we investigate pulsating string solutions within the context of a two-parameter \(\chi\)-deformed \(\mathcal{R} \times S^2\) background. We derive the energy and oscillation number relation for the deformed \(\mathcal{R} \times S^2\) in a short string limit. Additionally, we derive th...
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| creator | Nayak, Rashmi R Padhi, Nibedita Samal, Manoranjan |
| description | In this paper, we investigate pulsating string solutions within the context of a two-parameter \(\chi\)-deformed \(\mathcal{R} \times S^2\) background. We derive the energy and oscillation number relation for the deformed \(\mathcal{R} \times S^2\) in a short string limit. Additionally, we derive the first-order perturbation equation for a 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 \(\mathcal{R} \times S^2\) and \(AdS_3\) background by setting one of the deformation parameters to zero. |
| doi_str_mv | 10.48550/arxiv.2406.17449 |
| format | Article |
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| subjects | Deformation Parameters Stability Strings |
| title | Pulsating string solution and stability in two parameter \(\chi\)-deformed background |
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