Pulsating string solution and stability in two parameter χ-deformed background
Abstract In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R $$ \mathcal{R} $$ × S 2 background. We derive the energy and oscillation number relation for the deformed R $$ \mathcal{R} $$ × S 2 in short string limit. Additionally, we derive the fi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)132 |
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| Summary: | Abstract In this paper, we investigate pulsating string solutions within the context of two parameter χ-deformed R $$ \mathcal{R} $$ × S 2 background. We derive the energy and oscillation number relation for the deformed R $$ \mathcal{R} $$ × S 2 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 $$ \mathcal{R} $$ × S 2 and AdS 3 background by setting one of the deformation parameters to zero. |
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| ISSN: | 1029-8479 |