Generalized Holographic Cosmology: low-redshift observational constraint

TL;DR

This paper develops a holographic cosmology model based on a five-dimensional AdS black hole, deriving modified Friedmann equations, and demonstrates its compatibility with observational data comparable to the standard LCDM model.

Contribution

It introduces a holographic cosmology framework with modified Friedmann equations derived from AdS/CFT correspondence and tests its observational viability using low-redshift data.

Findings

Models fit observational data as well as LCDM.

Additional free parameters are present in the models.

AIC and BIC criteria favor the models' compatibility with data.

Abstract

Four-dimensional cosmological models are studied on a boundary of a five-dimensional Anti-de Sitter (AdS_5) black hole with AdS Reissner-Nordstrom and scalar charged Reissner- Nordstrom black hole solutions, where we call the former a "Hairless" black hole and the latter a "Hairy" black hole. To obtain the Friedmann-Robertson-Walker (FRW) spacetime metric on the boundary of the AdS_5 black hole, we employ Eddington-Finkelstein (EF) coordinates to the bulk geometry. We then derive modified Friedmann equations on a boundary of the AdS_5 black hole via AdS/CFT correspondence and discuss its cosmological implications. The late-time acceleration of the universe is investigated in our models. The contributions coming from the bulk side is treated as a dark energy source, and we perform MCMC analyses using observational data. Compared to the LCDM model, our models contain additional free parameters; therefore, to make a fair comparison, we use the Akaike information criterion (AIC) and the Bayesian information criterion (BIC) to analyze our results. Our numerical analyses show that our models can explain the observational data as reliable as the LCDM model does for the current data.