Hawking Radiation, Entanglement Entropy, and Information Paradox of Kerr Black Holes

Abstract

The black hole information paradox is a long-standing problem in theoretical physics. Despite some recent progress, many issues remain open and should be clarified. In this paper, we study the information paradox of Kerr black holes and propose a new resolution with precise physical meanings. We compute the time-dependent Hawking radiation rate during the Kerr black hole evaporation using both the gravity and the conformal field theory approaches. Based on the consistent result from both approaches, we formulate the information paradox on top of the time evolution of the entanglement entropy between a Kerr black hole and its Hawking radiation quanta. To resolve the information paradox, we carefully keep track of the ingoing Hawking quanta through the Kerr black hole as a quantum wormhole and microscopically derive the Page curve as a time-delay effect. The result matches the previously obtained semi-classical Page curve and has a natural interpretation in quantum information theory.