Attractor mechanism : Trio of effective black hole potential, entropy functional and Routhian
ABSTRACT
In this talk we discuss various aspects of the effective dynamics of Maxwell-Einstein scalar theories in the background of static, spherically symmetric and extremal black hole solution in (1+3) dimensions. We show that the effective one dimensional action (governed by the Attractor mechanism) from which the effective black hole potential (introduced by Ferrara-Gibbons-Kallosh) is usually computed, is the one dimensional effective Routhian of the original (1+3)d action.
We further discuss the interplay of this Routhian framework, black hole potential and Sen's entropy functional approach, enabling one to compute the black hole entropy.
The talk is based on the following paper:
A. Chattopadhyay, A. Marrani and S. Roychowdhury, The Routh of the Attractor Mechanism, [arXiv:2603.02559].
