The Energy Spectrum of the Membrane effective Model for Quantum Black Holes
نویسنده
چکیده
We study first order fluctuations of a relativistic membrane in the curved background of a black hole. The zeroth-order solution corresponds to a spherical membrane tightly covering the event horizon. We obtain a massive KleinGordon equation for the fluctuations of the membrane’s radial coordinate on the 2+1 dimensional world-volume. We finally suggest that quantization of the fluctuations can be related to black hole’s mass quantization and the corresponding entropy is computed. This entropy is proportional to the membrane area and is related to the one-loop correction to the thermodynamical entropy AH/4. With regards to the membrane model for describing effectively a quantum black hole, we connect these results with previous work on critical phenomena in black hole thermodynamics. Typeset using REVTEX Permanent Address: Instituto de Astronomı́a y F́ısica del Espacio, Casilla de Correo 67 Sucursal 28, 1428 Buenos Aires, Argentina. E-mail: [email protected] 1
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