The first invited talk for a member of CITR was delivered on Tuesday 28 June 2016 at an international conference in Warsaw, Poland.
The event, entitled “Singularities of general relativity and their quantum fate” was held at the Institute for Mathematics of the Polish Academy of Sciences, and ran from the 27 to the 30 June 2016.
Simone presented his work on the application of affine coherent states to the investigation of black hole and cosmological singularities.
More information can be found on the conference website
Phys.Rev. D90 (2014) 064046
In this work we investigate the thermodynamical properties and modified dynamics of black hole solutions in the semiclassical regime of affine coherent state quantization. Using the weak correspondence principle we build a semiclassical effective action that we use to study thermodynamics in the canonical ensemble and to compare classical analytical solutions with the corresponding semiclassical ones. We determine a strong compatibility of these affine black holes with the thermodynamical properties of the classical counterparts, with only minor restrictions on the free parameters of the models. Furthermore we obtain that black hole singularities are removed by quantum effects, resulting also in a modified extension of the horizon, in agreement with the sign of entropy corrections.