Generalized holographic equipartition for Friedmann–Robertson–Walker universes

The novel idea that spatial expansion of our universe can be regarded as the consequence of the emergence of space was proposed by Padmanabhan. By using of the basic law governing the emergence, which Padmanabhan called holographic equipartition, he also arrives at the Friedmann equation in a flat u...

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Bibliographic Details
Published in:General relativity and gravitation 2014-04, Vol.46 (4), Article 1680
Main Authors: Ai, Wen-Yuan, Chen, Hua, Hu, Xian-Ru, Deng, Jian-Bo
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
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Summary:The novel idea that spatial expansion of our universe can be regarded as the consequence of the emergence of space was proposed by Padmanabhan. By using of the basic law governing the emergence, which Padmanabhan called holographic equipartition, he also arrives at the Friedmann equation in a flat universe. When generalized to other gravity theories, the holographic equipartition need to be generalized with an expression of f ( Δ N , N s u r ) . In this paper, we give general expressions of f ( Δ N , N s u r ) for generalized holographic equipartition which can be used to derive the Friedmann equations of the Friedmann–Robertson–Walker universe with any spatial curvature in higher ( n + 1 )-dimensional Einstein gravity, Gauss–Bonnet gravity and more general Lovelock gravity. The results support the viability of the perspective of holographic equipartition.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-014-1680-8