Relating Friedmann equation to Cardy formula in universes with cosmological constant
Bin Wang, Elcio Abdalla, Ru-Keng Su
TL;DR
This paper explores the connection between the Friedmann equation and the Cardy formula in certain cosmological models, highlighting where the relation holds and discussing implications for holography in other universes.
Contribution
It establishes a specific relation between the Friedmann equation and the Cardy formula for de Sitter and Anti de Sitter universes, and discusses limitations in other cases.
Findings
Relation holds for de Sitter closed and Anti de Sitter flat universes
Fails for other (Anti) de Sitter universes
Raises questions about holography in universes where the relation does not hold
Abstract
A relation between the Friedmann equation and the Cardy formula has been found for de Sitter closed and Anti de Sitter flat universes. For the remaining (Anti) de Sitter universes the arguments fail, and we speculate whether the general philosophy of holography can be satisfied in such contents.
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