Accretion of Holographic Dark Energy : Dependency only upon Horizon Radius of Expanding Universe

TL;DR

This paper investigates how dark energy accretion affects black hole mass in a holographic model, showing that changes depend solely on the universe's horizon radius, not the black hole's size.

Contribution

It introduces a model where black hole mass variation due to dark energy accretion depends only on the universe's horizon radius, independent of black hole size.

Findings

Black hole mass varies with holographic dark energy type.

Mass change depends only on the universe's horizon radius.

Generalized second law of thermodynamics holds at the event horizon.

Abstract

In this paper we deal with accretion of dark energy in the holographic dark energy model for a general non-rotating static spherically symmetric black hole. The mass of the black hole increases or decreases depending on the nature of the holographic dark energy (quintessence or phantom) as well as on some integration parameters. It is to be illustrated that the enhancement or reduction of mass of a black hole is independent of the mass or size of the black hole itself. Rather it depends only upon the radius of the event horizon of the universe. Finally, the generalized second law of thermodynamics has been studied on the event horizon to be assured that the law holds even if when the black hole mass is decreasing though it is engrossing some mass.