A New Cloud of Strings
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912485527781376 |
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| author | Alencar, G. Landim, R. R. Filho, R. N. Costa |
| author_facet | Alencar, G. Landim, R. R. Filho, R. N. Costa |
| contents | In this work, we present a generalization of the cloud of strings model originally proposed by Letelier, by introducing a magnetic-like component, $Σ_{23}$, in addition to the electric-like component, $Σ_{01}$, considered in the original formulation. This extension leads to a new black hole solution of the form \begin{equation}
f(r) = 1 - \frac{2M}{r} + \frac{g_s^2 \ell_s^2}{r^2} \, {}_2F_1\left(-\frac{1}{2}, -\frac{1}{4}, \frac{3}{4}, -\frac{r^4}{\ell_s^4}\right), \end{equation} where ${}_2F_1$ denotes the Gaussian hypergeometric function. The solution is characterized by the string length $\ell_s$ and the string coupling constant $g_s$ yields the condition $0 < a < 1$, which now emerges from the model itself, ensuring both energy positivity and the existence of horizons-rather than being imposed ad hoc. We also investigate the thermodynamic properties of the resulting black hole, and find that the entropy remains consistent with the Bekenstein-Hawking formula, $S = A/4$, in agreement with several string-theoretic derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07609 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Cloud of Strings Alencar, G. Landim, R. R. Filho, R. N. Costa General Relativity and Quantum Cosmology High Energy Physics - Theory In this work, we present a generalization of the cloud of strings model originally proposed by Letelier, by introducing a magnetic-like component, $Σ_{23}$, in addition to the electric-like component, $Σ_{01}$, considered in the original formulation. This extension leads to a new black hole solution of the form \begin{equation} f(r) = 1 - \frac{2M}{r} + \frac{g_s^2 \ell_s^2}{r^2} \, {}_2F_1\left(-\frac{1}{2}, -\frac{1}{4}, \frac{3}{4}, -\frac{r^4}{\ell_s^4}\right), \end{equation} where ${}_2F_1$ denotes the Gaussian hypergeometric function. The solution is characterized by the string length $\ell_s$ and the string coupling constant $g_s$ yields the condition $0 < a < 1$, which now emerges from the model itself, ensuring both energy positivity and the existence of horizons-rather than being imposed ad hoc. We also investigate the thermodynamic properties of the resulting black hole, and find that the entropy remains consistent with the Bekenstein-Hawking formula, $S = A/4$, in agreement with several string-theoretic derivations. |
| title | A New Cloud of Strings |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.07609 |