Year: 2016
Type: article
Abstract: In this paper we will examine the consequence of a canonical theory of quantum dust collapse in $2+1$ dimensions. The solution of the Wheeler-DeWitt equation describing the collapse indicates that collapsing shells outside the apparent horizon are accompanied by outgoing shells within the apparent horizon during their collapse phase and stop collapsing once they reach the apparent horizon. Taking this picture of quantum collapse seriously, we determine a static solution with energy density corresponding to a dust ball whose collapse has terminated at the apparent horizon. We show that the boundary radius of the ball is larger than the Banados-Teitelboim-Zanelli radius confirming that no event horizon is formed. The ball is sustained by radial pressure which we determine and which we attribute to the Unruh radiation within it.
Authors: Souvik Sarkar, Cenalo Vaz, L. C. R. Wijewardhana
Institution: University of Cincinnati
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2272935942