# Interacting Holographic Dark Energy, the Present Accelerated Expansion and Black Holes

## TL;DR

This paper models the universe's accelerated expansion using interacting holographic dark energy with Hubble scale cutoff, predicting a transition from deceleration to acceleration and analyzing black hole evolution within this framework.

## Contribution

It introduces an integrated model combining interacting dark energy and holographic principles to explain cosmic acceleration and black hole evolution.

## Key findings

- Universe transitions from deceleration to acceleration at 0.732 times its current age.
- Current universe dominated by quintessence dark energy, becoming phantom in future.
- Addresses the coincidence problem and predicts future dark energy dominance.

## Abstract

We study the evolution of the universe by assuming an integrated model, which involves interacting dark energy and holographic principle with Hubble scale as IR cutoff. First we determined the interaction rate at which matter is converting to dark energy. In the next step, we evaluated the equation of state parameter which describes the nature of dark energy. Our result predicts that the present state of the universe is dominated by quintessence type dark energy and it will become phantom dominated in near future. Again our analysis successfully addresses the problem of present accelerated expansion of the universe and softens the coincidence problem. We also found that the universe was previously undergoing a decelerated phase of expansion and transition from deceleration to acceleration would occur at a time $t_{q=0}=0.732 t_0$, where $t_0$ is the present age of the universe. Finally, we discuss the evolution of Black Holes in this environment.