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In this work, we introduce an analytical approximate black hole solution inEinstein-Cubic gravity. To obtain complete solutions, we construct the nearhorizon and asymptotic solutions as the first step. Then, the approximateanalytic solutions are obtained through continued fraction expansion. We alsocompute the thermodynamic quantities and use the first law and Smarr formula toobtain the analytic solutions for the near horizon quantities. Finally, wefollow the same approach to obtain the new static black hole solutions withdifferent metric functions.

Analytically Approximation Solution to Einstein-Cubic Gravity