Entanglement Entropy for the Charged BTZ Black Hole
Alexis Larranaga
TL;DR
This paper calculates the entanglement entropy for the charged BTZ black hole using AdS/CFT, showing it reproduces the Bekenstein-Hawking entropy at leading order and reveals quantum corrections as logarithmic terms.
Contribution
It provides an explicit form of entanglement entropy for the charged BTZ black hole, including quantum corrections, using holographic methods.
Findings
Leading term matches Bekenstein-Hawking entropy
Subleading correction is logarithmic in entropy
Quantum entanglement effects are quantified
Abstract
Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its Bekenstein-Hawking entropy and the subleading term, representing the first corrections due to quantum entanglement, behaves as a logarithm of the BH entropy.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories