From holography to the geometry of the spacetime-Reference-Cited by-同舟云学术

From holography to the geometry of the spacetime

Published:2019-01 Issue:01 Volume:16 Page:1950010
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Pelegrín José A. S.¹²

Affiliation:

1. Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain

2. Departamento de Matemática Aplicada y Estadística, Universidad CEU San Pablo, 28003 Madrid, Spain

Abstract

We show the geometric consequences that the holographic principle has on the spacetime. Namely, we prove that complete spacelike hypersurfaces in a spacetime that satisfies the holographic principle are non-parabolic. This has important consequences on the behaviour of the Brownian motion in these spacelike hypersurfaces, as well as provides a method for finding examples of universes that lead to a violation of this principle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819500105

Reference29 articles.

1. Anti de Sitter space and holography

2. The holographic principle for general backgrounds

3. Universal upper bound on the entropy-to-energy ratio for bounded systems

4. The holographic principle

5. The world as a hologram

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