Analytically approximation solution to Einstein-Cubic gravity

In this work, we introduce analytical approximate black hole solutions in Einstein-Cubic gravity. To obtain complete solutions, we construct the near horizon and asymptotic solutions as the first step. Then, the approximate analytic solutions are obtained through continued-fraction expansion. We also compute the thermodynamic quantities and use the first law and Smarr formula to obtain the analytic solutions for near horizon quantities. Finally, we follow the same approach to obtain the new static black hole solutions with different metric functions.