the connection between entropy and the absorption spectra of schwarzschild black holes for light and massless scalar fields之间的联系熵和史瓦西黑洞吸收光谱的光和无质量标量场.pdf

Entropy 2009, 11, 17-31; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article The Connection Between Entropy and the Absorption Spectra of Schwarzschild Black Holes for Light and Massless Scalar Fields ´ Sergio Mendoza , Xavier Hernandez , Pablo L. Rendon , C. S. Lopez-Monsalvo and Roberto Velasco-Segura Instituto de Astronomia, Universidad Nacional Autonoma de Mexico, AP 70-264, Distrito Federal 04510, Mexico; E-mails: sergio@astroscu.unam.mx; xavier@astroscu.unam.mx. GEPI, Observatoire de Paris, 5 Place Jules Janssen, 92195 Meudon, France CCADET, Universidad Nacional Autonoma de Mexico, Distrito Federal 04510, Mexico; E-mails: pablo.rendon@ccadet.unam.mx; rdroberto@. School of Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom; E-mail: cslm1x07@soton.ac.uk. Author to whom correspondence should be addressed. Received: 11 June 2008 / Accepted: 11 January 2009 / Published: 23 January 2009 Abstract: We present heuristic arguments suggesting that if EM waves with wavelengths somewhat larger than the Schwarzschild radius of a black hole were fully absorbed by it, the second law of thermodynamics would be violated, under the Bekenstein interpretation of the area of a black hole as a measure of its entropy. Thus, entropy considerations make the well known fact that large wavelengths are only marginally absorbed by black holes, a natural consequence of thermodynamics. We also st