XIV Latin American Symposium on High Energy Physics

An analysis of the Ruppeiner geometry and the thermodynamics of extremal black holes

15 Nov 2022, 16:30

2h

Tesorería Hall (USFQ main campus)

Poster presentation Cosmology and gravitation Pizza and poster session

Speaker

Pedro Zottolo (UNICAMP)

Description

The aim of this study is to investigate the correlation of the Ruppeiner geometry with recent conclusions about the thermodynamics of extremal black holes, focusing on the Reissner-Nordström solution. First, we studied the Ruppeiner geometry with respect to the "enthalpic" energy $M$ and the internal energy $\tilde{M}$, similar to the van der Walls-Maxwell model, this geometry allows us to understand the underlying properties of the statistical thermodynamics system. Then the relation between the Ricci scalar and the thermodynamics properties of the charged black hole were explored, as the modification from another black hole solution to the Reissner-Nordström black hole. This process was useful to avoid the flat information obtained, $R=0$, when we valued the Ricci scalar for the charged solution with the variable set $\{M,S,Q\}$. The relation with Ruppeiner and black holes can not be applied directly, nevertheless, we observe that the thermodynamics properties can be associated with the scalar behavior but some divergence with the modification values showed up.

Presentation materials

An_Analysis_of_the_Ruppeiner_geometry___Pedro_Zottolo (9).pdf