# D-bound and Bekenstein Bound for the Surrounded Vaidya Black Hole

## TL;DR

This paper investigates the thermodynamic bounds of Vaidya black holes surrounded by different exotic fields, showing that entropy bounds can distinguish viable cosmological fields, favoring the cosmological constant over quintessence-like and phantom-like fields.

## Contribution

It introduces a thermodynamic criterion based on entropy bounds to evaluate the viability of different surrounding fields for Vaidya black holes.

## Key findings

- The entropy bounds can exclude quintessence-like and phantom-like fields.
- The cosmological constant satisfies the thermodynamic criteria.
- Entropy considerations can guide the selection of cosmological fields.

## Abstract

We study the Vaidya black hole surrounded by the exotic quintessence-like, phantom-like and cosmological constant-like fields by means of entropic considerations. Explicitly, we show that for this thermodynamical system, the requirement for the identification of D-bound and Bekenstein entropy bound can be considered as a thermodynamical criterion by which one can rule out the quintessence-like and phantom-like fields, and prefer the cosmological constant as a vi{\th}able cosmological field.