Dark Energy Constraints from a five-dimensional AdS Black Hole via AdS/CFT

¹ Graduate School of Science, RUPP, Cambodia 12150
² Center for Quantum Spacetime (CQUeST), Sogang University, Seoul, Korea 121-742
³ Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon 34051, Korea

^* e-mail: physics10@postech.ac.kr
^** e-mail: kpslourk@gmail.com
^*** e-mail: bhl@sogang.ac.kr
^**** e-mail: gansuhmgl@ibs.re.kr

Published online: 19 April 2019

Abstract

There are many dark energy models having been investigated with constraint from observational data. The best dark energy candidate is ΛCDM model. In this work, our model has extended to include AdS/CFT correspondent, where the AdS black hole boundary exhibit the FLRW metric foliated with four-dimensional gravity theory, can lead to a modified Friedmann Equation contains extra parameter coming from 5D AdS (hairy) black hole, where such extension to ACDM can be considered. We obtained modified Friedmann equation from both 5D hairless and scalar hair black hole. The effect from extra dimension in hairless black hole solutions can be observed in the form of radiation. Also, it is interesting to see a non-trivial term emerges in scalar hair solution case. However in this study, we only consider Hairless black hole case for data constraint by using a join analysis of Supernovae, CMB and H₀ measurement to obtain ${\chi }_{\min }^2$. As a result, we compare this particular case with ACDM using AIC and BIC statistics.