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<p>The black hole solutions to Einstein’s vacuum equations in four dimensions contain just one example: the Kerr black hole. Over the past two decades, we have understood that higher-dimensional black holes are far more plentiful. I give a straightforward account of the reasons for this abundance based on three key ideas: (i) Horizons in <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10714_2025_3398_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(D&gt;4\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mo>&gt;</mo> <mn>4</mn> </mrow> </math></EquationSource> </InlineEquation> can be long. (ii) Long horizons are flexible. (iii) Long horizons are unstable. I conclude with some comments and conjectures about the classification problem.</p>

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Black holes galore in \(D>4\)

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  • 发表日期：

    2025年4月24日

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  • Roberto Emparan

摘要

The black hole solutions to Einstein’s vacuum equations in four dimensions contain just one example: the Kerr black hole. Over the past two decades, we have understood that higher-dimensional black holes are far more plentiful. I give a straightforward account of the reasons for this abundance based on three key ideas: (i) Horizons in \(D>4\) D > 4 can be long. (ii) Long horizons are flexible. (iii) Long horizons are unstable. I conclude with some comments and conjectures about the classification problem.