1995/04/30 by A. Buonanno, Alessandra Buonanno, M. Gattobigio +7 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Curvature #Degrees of freedom (physics and chemistry) #Entropy (arrow of time) #Formalism (music) #Lagrangian #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Electrodynamics and Casimir Effect #Scalar field #Semiclassical physics #gr-qc #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00351-r
published as Nucl.Phys.B451:677-698,1995 · 24 pages, Latex, Nucl. Phys. B, to appear
arxiv created 1995/07/17 · openalex publication_date 1995/10/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the most general effective Lagrangian obtained from the assumption that the degrees of freedom to be quantized, in a black hole, are on the horizon. The effective Lagrangian depends only on the induced metric and the extrinsic curvature of the (fluctuating) horizon, and the possible operators can be arranged in an expansion in powers of \mpl/M, where \mpl is the Planck mass and M the black hole mass. We perform a semiclassical expansion of the action with a formalism which preserves general covariance explicitly. Quantum fluctuations over the classical solutions are described by a single scalar field living in the 2+1 dimensional world-volume swept by the horizon, with a given coupling to the background geometry. We discuss the resulting field theory and we compute the black hole entropy with our formalism.