Cosmological horizons as new examples of membrane paradigm

TL;DR

This paper extends the membrane paradigm to cosmological horizons, demonstrating its applicability beyond black holes and deriving cosmological equations from membrane and bulk fluid continuity.

Contribution

It introduces the application of the membrane paradigm to cosmological horizons, including de Sitter and FLRW universes, with new insights into horizon dynamics and corrections.

Findings

Membrane paradigm applied to de Sitter horizon.

Membrane paradigm applied to FLRW universe horizons.

Derived cosmological equations from membrane and bulk fluid continuity.

Abstract

In this paper we aim to provide new examples of the application and the generality of the membrane paradigm. The membrane paradigm is a formalism for studying the event horizon of black holes. After analyzing it with some technical details and realizing it in the Reissner-Nordstrom black hole, we apply the paradigm to cosmological horizons, firstly to the pure de Sitter horizon, and then to the trapping horizon of the Friedmann-Lemaitre-Robertson-Walker universe. In the latter case, the cosmological stretched horizon is oblique, thus the running of renormalization parameter is nonzero in the timelike direction and gives a correction to the membrane pressure. In this paradigm, the cosmological equations come from continuity equations of the membrane fluid and the bulk fluid respectively.