A. Iorio ¹, G. Lambiase, and G. Vitiello

Dipartimento di Fisica "E.R. Caianiello" Universitá di Salerno, 84081 Baronissi (Sa), Italy.
INFN - Gruppo Collegato di Salerno, Italy.
E-mail: iorio, lambiase, [email protected]
¹ Now at: Center for Theoretical Physics, Massachusetts Institute of Technology -77, Massachusetts Avenue - Cambridge MA 02139 - 4307, USA.
E-mail: [email protected]

Received: 15 May 2002 / Accepted: 3 February 2003 / Published: 3 February 2003

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.