Self-gravitating phase transitions: Point particles, black holes and strings
Résumé
We compute the quantum string entropy S(m,j) of the microscopic string states of mass m and spin j in two physically relevant backgrounds: Kerr (rotating) black holes and de Sitter (dS) space time. We find a new formula for the quantum gravitational entropy S(M,J), as a function of the usual Bekenstein Hawking entropy Ssem(0)(M,J). We compute the quantum string emission by a black hole in de Sitter space time (bhdS). In all the following cases: (i) strings with the highest spin, and (ii) in dS space time, (iii) quantum rotating black holes, (iv) quantum dS regime, (v) late bhdS evaporation, we find a new gravitational phase transition with a common distinctive universal feature: a square root branch point singularity in any space time dimensions. This is the same behavior as for the thermal self-gravitating gas of point particles (de Vega Sanchez transition), thus describing a new universality class. To cite this article: N.G. Sanchez, C. R. Physique 7 (2006).