Speaker
Giulio Neri
Description
The covariant phase space formalism is a powerful framework for analyzing systems with boundaries. One of its key achievements is providing an elegant, one-line proof of the first law of thermodynamics, demonstrating its simplicity and wide applicability—even extending to black holes in the context of dynamical gravity.
Using Lanczos-Lovelock theories as a playground, we show how to derive integrated relations that require extensions of the phase space. We apply these considerations to give well-defined prescriptions for the thermodynamical potentials that enter the Smarr formula for Lanczos-Lovelock black holes and describe how the total energy depends on the couplings.
Primary authors
Giulio Neri
Prof.
Stefano Liberati
(SISSA)
