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Dynamics vs Thermodynamics of black holes

Marcela Cárdenas (Université Paris Diderot, Laboratoire APC)
When Jan 31, 2019
from 01:30 PM to 02:30 PM
Where Amphithéâtre F
Attendees Marcela Cárdenas
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Jeudi 31 Janvier

 

Title: Dynamics vs Thermodynamics of black holes

Marcela Cárdenas (Université Paris Diderot, Laboratoire APC)

 

Abstract:

In this talk, we will address various aspects of hairy black holes that are solutions of four-dimensional gravity in the presence of a dilatonic scalar field and an Abelian gauge field. In particular, we will study their thermodynamics as a consequence of a well-posed variational principle. We find that for a slow fall-off of the scalar fields, they introduce a non-integrable term in the variation of the mass, that make the first law of black hole thermodynamics to be satisfied. The appearance of a non-integrableterm is solved by proposing boundary conditions that arbitrarily relates the leading and subleading terms of the scalar field fall-off. 

In a second part of the talk, we give a first attempt to connect thermodynamic black holes with astrophysical ones, where the presence of a non-integrable term will be crucial. We propose a way to connect two a priori distinct aspects of black hole physics: their thermodynamics, and their description as point particles, which is an essential starting point in the post-Newtonian approach to their dynamics. We will find that, when reducing a black hole to a point particle endowed with its specific effective mass, one in fact describes a black hole satisfying the first law of thermodynamics by virtue of their global charges and entropy remaining constant.