Uncertainty principle for the entropy of black holes, de Sitter and Rindler spaces
Abstract
By a simple physical consideration and uncertain principle, we derive that temperature is proportional to the surface gravity and entropy is proportional to the surface area of the black hole. We apply the same consideration to de Sitter space and estimate the temperature and entropy of the space, then we deduce that the entropy is proportional to the boundary surface area. By the sameconsideration, we estimate the temperature and entropy in the uniformly accelerated system (Rindler space). The cases in higher dimensions are considered.
- Publication:
-
Black Holes from Stars to Galaxies -- Across the Range of Masses
- Pub Date:
- April 2007
- DOI:
- 10.1017/S1743921307005546
- Bibcode:
- 2007IAUS..238..379H
- Keywords:
-
- Uncertainty principle;
- black hole entropy;
- de Sitter space;
- Rindler space