Gravitational energy, dS/CFT correspondence and cosmic no-hair

TL;DR

This paper investigates gravitational energy in asymptotically de Sitter spaces, demonstrating positivity in some cases, and explores the connections between dS/CFT correspondence and the cosmic no-hair conjecture through holographic principles.

Contribution

It provides new insights into gravitational energy positivity and links the dS/CFT correspondence with the cosmic no-hair conjecture using holographic renormalization.

Findings

Positivity of gravitational energy shown in specific cases

dS/CFT correspondence tested via gravitational energy

Connections between holographic RG flow and cosmic no-hair conjecture established

Abstract

The gravitational energy is examined in asymptotically de Sitter space-times. The positivity will be shown for certain cases. The de Sitter/CFT(dS/CFT) correspondence recently proposed and cosmic no-hair conjecture are testified in the aspect of the gravitational energy. From the holographic renormalization group point of view, the two conjectures are deeply connected with each other.