Poor man's holography: How far can it go?

TL;DR

This paper explores a novel form of holographic duality within Einstein's gravity, demonstrating that holographic principles can be observed without the need for asymptotic AdS spacetime, especially in thermodynamics and hydrodynamics contexts.

Contribution

It proposes a new perspective on holography in Einstein's gravity, showing it can be observed without asymptotic AdS conditions and applies it to thermodynamics and hydrodynamics.

Findings

Holography can be observed in Einstein's gravity without asymptotic AdS spacetime.

A perfect match between bulk gravity and boundary thermodynamics is demonstrated.

Conserved current methods effectively relate black hole perturbations to boundary non-equilibrium thermodynamics.

Abstract

One of the most exciting things in recent theoretical physics is the suspicion that gravity may be holographic, dual to some sort of quantum field theory living on the boundary with one less dimension. Such a suspicion has been supported mainly by a variety of specific examples from string theory. This paper is intended to purport the holographic gravity from a different perspective. Namely we propose that such a holography can actually be observed within the context of Einstein's gravity, where neither is spacetime required to be asymptotically AdS nor the boundary to be located at conformal infinity. We show that our holography works remarkably well at least at the level of thermodynamics and hydrodynamics. In particular, a perfect matching between the bulk gravity and boundary system is found not only for the equilibrium variation but also for the non-equilibrium entropy production, where a method of conserved current is seen to be efficient in relating the black hole perturbation in the bulk gravity and the non-equilibrium thermodynamics on the boundary.