Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity

Abstract

We obtain the charged rotating black hole in conformal gravity. The metric is asymptotic to the (anti-)de Sitter spacetime. The contribution to the metric from the charges has a slower falloff than that in the Kerr-Newman AdS black hole. We analyse the global structure and obtain all the thermodynamical quantities including the mass, angular momentum, electric/magnetic charges and their thermodynamical conjugates. We verify that the first law of thermodynamics holds. We also obtain the new neutral rotating black holes that are beyond Einstein metrics. In contrast to the static ones, these rotating black holes have no parameters associated with the massive spin-2 hair.

Latex, 19 pages, typos corrected and references added

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• Dynamics of null particles and shadow for general rotating black hole
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• Wave Equation for the Wu Black Hole
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• Dynamical Implementation of the Constraints in Conformal Gravity
• A New Property of the Electromagnetic/Yang-Mills-Conformal Gravity System in Spherical Symmetry
• Classical and holographic aspects of conformal gravity in four dimensions
• Holography of pp-waves in conformal gravity
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