On the Vaz no horizon black hole

TL;DR

This paper introduces a no horizon black hole model where matter condenses near the horizon, with an interior geometry dependent on a single parameter, differing from Vaz's earlier model.

Contribution

It presents a new no horizon black hole solution with a simplified interior geometry based on quantum fluctuation region radius, improving upon Vaz's model.

Findings

The interior geometry depends only on the quantum fluctuation radius r0.

The quantum fluctuation radius r0 is half the Schwarzschild radius.

The surface stress tensor exhibits negative surface tension.

Abstract

We propose a no horizon black hole whose collapsing matter condenses close to the event horizon and before its formation. Compared to Vaz's model [arXiv: 1407.3823], our interior geometry depends only on one parameter $r_{0}$ - the radius of the region where quantum fluctuations are significant. While the equation of state of the inner fluid is $p_{r} = -\rho$ and the traverse pressures are vanishing, the surface stress tensor corresponds to an anisotropic fluid with negative surface tension. Using the junction conditions on the boundary of the collapsing star, we found that $r_{0}$ is half its Schwarzschild radius and not $2M$, as previously obtained by Vaz for a dust ball.