On the first law of entanglement for Quasi-Topological gravity

TL;DR

This paper derives the first law of entanglement for quasi-topological gravity using the Iyer-Wald formalism and explores its extended form, contributing to the understanding of holographic dualities in higher curvature theories.

Contribution

It explicitly derives the first law of entanglement in quasi-topological gravity and investigates its extended version, advancing holographic entanglement studies in higher curvature gravity.

Findings

First law of entanglement derived for quasi-topological gravity.

Extended first law of entanglement analyzed in this context.

Provides a foundation for holographic entanglement in higher curvature theories.

Abstract

The first law of entanglement has been used to obtain the linearized Einstein equations of the holographic dual spacetimes. In the present paper, the first law of entanglement in quasi-topological gravity is explicitly derived by using the Iyer-Wald formalism. In addition, we investigate the extended first law of entanglement for the special case in Quasi-Topological gravity.