The Cardy-Verlinde formula in the presence of GUP and MDR
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- 作者：M. Dehghani
- 关键词：Black hole thermodynamics ; Generalized uncertainty principle ; Modified dispersion relation ; Cardy ; Verlinde formula
- 刊名：Astrophysics and Space Science
- 出版年：2016
- 出版时间：April 2016
- 年：2016
- 卷：361
- 期：4
- 全文大小：812 KB
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1. Department of Physics, Ilam University, Ilam, Iran - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Astronomy - 出版者：Springer Netherlands
- ISSN：1572-946X
文摘
In this work, making use of the generalized uncertainty principle (GUP) and modified dispersion relation (MDR), the possible corrections to thermodynamic quantities of the four-dimensional Schwarzschild black hole have been investigated, separately. It has been shown that Hawking temperature, energy and entropy of the black hole receive some corrections. The explicit form of the corrections have been worked out up to the sixth power of the Planck length. The corrected thermodynamic quantities have been used to obtain the corrections to the Cardy-Verlinde (C-V) formula from both approaches. It has been found that C-V formula receives some new corrections. Furthermore, the renormalized form of the C-V formula has been introduced by redefining the Virasoro operator and the central charge within both the GUP and the MDR frameworks. Trough comparison of the corrections obtained from GUP and MDR analysis, it has been shown that the results of these two alternative approaches should be identical if one uses the suitable expansion coefficients.