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arXiv · 2205.03830

New Anisotropic Gauss-Bonnet Black Holes in Five Dimensions at the Critical Point

Yuxuan Peng
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Abstract

We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. The translational invariance along one direction on the 3-dimensional horizon cross section is broken. The Gauss-Bonnet coupling {\alpha} is at the critical point where there is one single AdS vacuum. These solutions does not appear in the form of a warped product, i.e. they lack a common warping factor, and the metric contains 2 arbitrary functions, h(r) of the radial coordinate r and H(y) of the horizon coordinate y -- some degeneracy in the metric. The nontrivial horizon and the degeneracy may be closely related to the critical value of {\alpha}. We introduce the process of obtaining the solutions and some of their properties, and also prove a uniqueness theorem for the case when there is a common warping factor for the rest two directions.

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Yuxuan Peng. 2022-05-08. New Anisotropic Gauss-Bonnet Black Holes in Five Dimensions at the Critical Point. https://arxiv.org/abs/2205.03830

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