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arXiv · 2103.00884

De-singularizing the extremal GMGHS black hole via higher derivatives corrections

Carlos Herdeiro·Eugen Radu·Kunihito Uzawa
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Abstract

The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is an influential solution of the low energy heterotic string theory. As it is well known, it presents a singular extremal limit. We construct a regular extension of the GMGHS extremal black hole in a model with $\mathcal{O}(α')$ corrections in the action, by solving the fully non-linear equations of motion. The de-singularization is supported by the $\mathcal{O}(α')$-terms. The regularised extremal GMGHS BHs are asymptotically flat, possess a regular (non-zero size) horizon of spherical topology, with an $AdS_2\times S^2$ near horizon geometry, and their entropy is proportional to the electric charge. The near horizon solution is obtained analytically and some illustrative bulk solutions are constructed numerically.

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Carlos Herdeiro, Eugen Radu, Kunihito Uzawa. 2021-05-19. De-singularizing the extremal GMGHS black hole via higher derivatives corrections. https://doi.org/10.1016/j.physletb.2021.136357

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