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Advances in High Energy Physics
Volume 2016 (2016), Article ID 3973706, 7 pages
Research Article

Solution of Deformed Einstein Equations and Quantum Black Holes

1Department of Physics, Sinop University, Korucuk, 57000 Sinop, Turkey
2Department of Statistics, Sinop University, Korucuk, 57000 Sinop, Turkey

Received 27 April 2016; Accepted 17 May 2016

Academic Editor: Christian Corda

Copyright © 2016 Emre Dil and Erdinç Kolay. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Recently, one- and two-parameter deformed Einstein equations have been studied for extremal quantum black holes which have been proposed to obey deformed statistics by Strominger. In this study, we give a deeper insight into the deformed Einstein equations and consider the solutions of these equations for the extremal quantum black holes. We then represent the implications of the solutions, such that the deformation parameters lead the charged black holes to have a smaller mass than the usual Reissner-Nordström black holes. This reduction in mass of a usual black hole can be considered as a transition from classical to quantum black hole regime.