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Vacua and Exact Solutions in Lower-$D$ Limits of EGB

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arxiv 2004.14738 v1 pith:3RZSMQYB submitted 2020-04-30 gr-qc hep-th

classification gr-qchep-th
keywords exactsolutionsvacuablackeinstein-gauss-bonnetgravitylimitsobtain
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the action principles that are the lower dimensional limits of the Einstein-Gauss-Bonnet gravity {\it via} the Kaluza-Klein route. We study the vacua and obtain some exact solutions. We find that the reality condition of the theories may select one vacuum over the other from the two vacua that typically arise in Einstein-Gauss-Bonnet gravity. We obtain exact black hole and cosmological solutions carrying scalar hair, including scalar hairy BTZ black holes with both mass and angular momentum turned on. We also discuss the holographic central charges in the asymptotic AdS backgrounds.

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