Generalized Holographic Cosmology

TL;DR

This paper explores a holographic approach to cosmology using five-dimensional black hole solutions, demonstrating how boundary conditions and renormalization relate to four-dimensional cosmological parameters and thermodynamics.

Contribution

It introduces a generalized holographic framework for cosmology that encompasses standard brane-world models as special cases.

Findings

Boundary conditions define cosmological evolution via holography.

Counterterms renormalize Newton's and cosmological constants.

Examples illustrate thermodynamics and connections to brane-world scenarios.

Abstract

We consider general black hole solutions in five-dimensional spacetime in the presence of a negative cosmological constant. We obtain a cosmological evolution via the gravity/gauge theory duality (holography) by defining appropriate boundary conditions on a four-dimensional boundary hypersurface. The standard counterterms are shown to renormalize the bare parameters of the system (the four-dimensional Newton's constant and cosmological constant). We discuss the thermodynamics of cosmological evolution and present various examples. The standard brane-world scenarios are shown to be special cases of our holographic construction.