https://doi.org/10.1140/epjc/s10052-013-2292-2
Regular Article - Theoretical Physics
Thermodynamic analysis of a Schwarzschild black hole fed by cosmic microwave background radiation
1
Institut für Thermofluiddynamik (M-21), Hamburg University of Technology, Gebäude L, Denickestr. 17, 21073, Hamburg, Germany
2
Department of Aerospace Engineering, Indian Institute of Technology Bombay, P.O. IIT Powai, Mumbai, 400076, India
* e-mail: spm@aero.iitb.ac.in
Received:
5
October
2012
Published online:
30
January
2013
The analysis of black holes fed by the omnipresent Cosmic Microwave Background Radiation (CMBR) constitutes benchmark cases. The rate of energy and entropy variation of a Schwarzschild black hole fed by CMBR is analytically obtained. The entropy analysis revealed that there is a higher value of black hole’s critical mass than that obtained from an energy analysis, which is needed for its existence with high probability. At this minimum value of mass of the Schwarzschild black hole, the entropy generated due to its existence becomes positive. The black hole’s negentropy and the difference between its exit and inlet specific entropies are shown to more importantly correlate with its event horizon area than the black hole’s entropy.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013