Mach's holographic principle

Justin Khoury, Maulik Parikh

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Mach's principle is the proposition that inertial frames are determined by matter. We put forth and implement a precise correspondence between matter and geometry that realizes Mach's principle. Einstein's equations are not modified and no selection principle is applied to their solutions; Mach's principle is realized wholly within Einstein's general theory of relativity. The key insight is the observation that, in addition to bulk matter, one can also add boundary matter. Given a space-time, and thus the inertial frames, we can read off both boundary and bulk stress tensors, thereby relating matter and geometry. We consider some global conditions that are necessary for the space-time to be reconstructible, in principle, from bulk and boundary matter. Our framework is similar to that of the black hole membrane paradigm and, in asymptotically anti-de Sitter space-times, is consistent with holographic duality.

Original languageEnglish (US)
Article number084004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number8
DOIs
StatePublished - Oct 6 2009
Externally publishedYes

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stress tensors
Einstein equations
geometry
relativity
membranes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Mach's holographic principle. / Khoury, Justin; Parikh, Maulik.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 8, 084004, 06.10.2009.

Research output: Contribution to journalArticle

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