Entropy of Black Holes: A Quantum Algebraic Approach

Abstract

Abstract: In this paper we apply to a class of static and time-independent geometries the recently developed formalism of deformed algebras of quantum fields in curved backgrounds. In particular we derive: i) some non-trivial features of the entanglement of the quantum vacuum, such as the robustness against interaction with the environment; ii) the thermal properties and the entropy of black holes for space-times with a unique event horizon, such as Schwarzschild, de Sitter and Rindler space-times.

Keywords

• quantum algebras
• theory of quantized fields
• quantum field theory in curved space-times