Scalar Field in Massive BTZ Black Hole and Entanglement Entropy

Abstract: In this paper, we investigate the quantum scalar fields in massive BTZ black hole background. We study the entropy of the system by evaluating the entanglement entropy with the use of discretized approach. Specifically, we fit the results with $\log$ -modified formula of the black hole entropy which is introduced by quantum correction. The coefficients of leading and sub-leading terms affected by the mass of graviton are numerically analyzed.