Non-Singular Anti-de Sitter Black Holes within Conformal Weyl Gravity and Black Hole CFT Duality

Suleiman, Raid

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Non-Singular Anti-de Sitter Black Holes within Conformal Weyl Gravity and Black Hole CFT Duality

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Our research focuses on the universality of black hole entropy in the context of conformal Weyl gravity. To do so, we calculate the entropy of various vacuum and non-vacuum solutions using Nöther’s current method and Wald’s entropy formula. We examine the near horizon near the extremal Kerr metric, which is a vacuum solution to conformal Weyl gravity that has not been studied before. In addition, we analyze non-vacuum solutions by coupling the conformal Weyl gravity field equations to a near horizon (linear) U (1) gauge potential. We found that the black hole entropy is not universal among our studied solutions with different symmetries. However, the respective entropies are consistent with Wald’s entropy formula for the specific gravity theory. We also discuss the construction of a near-horizon CFT dual to one of our unique non-vacuum solutions, which requires the introduction of a parameter called gamma that relates to the Weyl anomaly coefficient. Using AdS2/CFT1 correspondence, we compute the full asymptotic symmetry group of the chosen non-vacuum conformal Weyl black hole and its near horizon quantum CFT dual. Finally, we provide a discussion and future research directions.

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