A New Cloud of Strings
G. Alencar, R. R. Landim, R. N. Costa Filho

TL;DR
This paper extends the cloud of strings model by adding a magnetic component, leading to a new black hole solution with unique thermodynamic properties, consistent with string theory predictions.
Contribution
It introduces a magnetic-like component to the cloud of strings model, resulting in a novel black hole solution with self-consistent parameters and thermodynamics.
Findings
Derived a new black hole solution involving hypergeometric functions.
Established conditions for energy positivity and horizon existence.
Confirmed entropy aligns with Bekenstein-Hawking formula.
Abstract
In this work, we present a generalization of the cloud of strings model originally proposed by Letelier, by introducing a magnetic-like component, , in addition to the electric-like component, , 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 denotes the Gaussian hypergeometric function. The solution is characterized by the string length and the string coupling constant yields the condition , 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…
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Taxonomy
TopicsComputational Physics and Python Applications
