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A holographic derivation of the linearized equations of gravity

Delicaat, Oscar (2019) A holographic derivation of the linearized equations of gravity. Master's Thesis / Essay, Physics.

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Abstract

Using the Ryu-Takyanagi conjecture it will be argued that spacetime emerges from the entanglement entropy in the AdS/CFT correspondence. We will use the Iyer-Wald formalism to derive the linearized equations of gravity in the AdS space. To do this we will consider an exact quantum generalization of the thermodynamic first law on the CFT side and translate this to a holographic restraint in the form of a bulk first law. The linearized equations hold for any diffeomorphic invariant theory of gravity and in particular we shall explicitly derive the linearized Einstein equations. Finally extensions to this derivation and similar ways of deriving the Einstein equations will be discussed.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor name: Bergshoeff, E.A.
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 24 Jan 2019
Last Modified: 29 Jan 2019 13:38
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/19059

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