Year: 2010
Type: article
Abstract: The state-space pair correlation functions and the notion of stability of extremal and nonextremal black holes in string theory and $M$ theory are considered from the viewpoint of thermodynamic Ruppeiner geometry. We have explicitly analyzed the state-space configurations for (i) the two- and three-charge extremal black holes, (ii) the four- and six-charge nonextremal black branes, which both arise from the string theory solutions. An extension is considered for the ${D}_{6}\mathrm{\text{\ensuremath{-}}}{D}_{4}\mathrm{\text{\ensuremath{-}}}{D}_{2}\mathrm{\text{\ensuremath{-}}}{D}_{0}$ multicentered black branes, fractional small black branes, and two-charge rotating fuzzy rings in the setup of Mathur's fuzzball configurations. The state-space pair correlations and the nature of stabilities have been investigated for three-charged bubbling black-brane foams, and thereby the $M$-theory solutions are brought into the present consideration. Novel aspects of the state-space interactions have been envisaged from the coarse graining counting entropy of underlying conformal field theory microstates.
Authors: Stefano Bellucci, Bhupendra Nath Tiwari
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2071254284