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Transformations of Asymptotically AdS Hyperbolic Initial Data and Associated Geometric Inequalities

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 نشر من قبل Marcus Khuri
 تاريخ النشر 2017
  مجال البحث فيزياء
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We construct transformations which take asymptotically AdS hyperbolic initial data into asymptotically flat initial data, and which preserve relevant physical quantities. This is used to derive geometric inequalities in the asymptotically AdS hyperbolic setting from counterparts in the asymptotically flat realm, whenever a geometrically motivated system of elliptic equations admits a solution. The inequalities treated here relate mass, angular momentum, charge, and horizon area.



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