The Cardy-Verlinde equation in a spherical symmetric gravitational collapse

TL;DR

This paper explores the application of the Cardy-Verlinde formula to gravitational collapse, linking holographic principles to black hole entropy formation and discussing related concepts like entangled entropy and the c-theorem.

Contribution

It demonstrates how the Cardy-Verlinde formula can describe black hole entropy during spherical gravitational collapse using holographic principles.

Findings

The equations for homogeneous isotropic collapse relate to black hole entropy.

The role of entangled entropy in gravitational collapse is discussed.

Connections between the formula, entangled entropy, and the c-theorem are analyzed.

Abstract

The Cardy-Verlinde formula is analyzed in the contest of the gravitational collapse. Starting from the holographic principle, we show how the equations for a homogeneous and isotropic gravitational collapse describe the formation of the black hole entropy. Some comments on the role of the entangled entropy and the connection with the c-theorem are made.