Calculating the Entropy of Black Holes with AdS₂ X S² topology within Conformal Gravity using the Nöether’s Current Method

The Nöether’s current method, which leads to conserved boundary charges and killing isometries, allows us to reach an expression for the conserved charge of a black hole with AdS₂XS² topology within conformal gravity. By computing canonical commutators of the boundary charges, we generate a virasoro algebra from which we read off the central charge. Using Cardy’s formula to calculate entropy we find that our result from the Nöether’s current method agrees with the Wald entropy formula.