Friedmann equation and Cardy formula correspondence in brane universes
Bin Wang, Elcio Abdalla, Ru-Keng Su
TL;DR
This paper explores the relationship between Friedmann equations and Cardy entropy formula in brane universes with various black hole backgrounds, revealing a correspondence that deepens understanding of holographic cosmology.
Contribution
It establishes a novel connection between Friedmann equations and Cardy entropy in brane universes with arbitrary tension on black hole backgrounds.
Findings
Friedmann equations match Cardy entropy formula in specific brane setups
The correspondence holds for various black hole geometries with AdS asymptotics
Provides insights into holographic principles in cosmology
Abstract
We study the brane with arbitrary tension on the edge of various black holes with AdS asymptotics. We investigate Friedmann equations governing the motion of the brane universes and match the Friedmann equation to Cardy entropy formula.
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