Power Law Corrections to BTZ Black Hole Entropy

Abstract

We study the quantum scalar field in the background of BTZ black hole and evaluate the entanglement entropy of the non-vacuum states. The entropy is proportional to the area of event horizon for the ground state, but the area law is violated in the case of non-vacuum states (first excited state and mixed states) and the corrections scale as power law.

arXiv comment21 pages, 3 figures, Journal Version

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Cited by in corpus (5)

• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Logarithmic Corrections to the Entropy of Scalar Field in BTZ Black Hole Space-time