25–27 Jun 2024
ECAP Laboratory Building
Europe/Berlin timezone

Spherical collapse and black hole evaporation

25 Jun 2024, 18:30
40m
ECAP Laboratory Building

ECAP Laboratory Building

Nikolaus-Fiebiger-Straße 2 91058 Erlangen

Speaker

Madhavan Varadarajan (Zoom) (RRI)

Description

We consider spherically symmetric gravity coupled to a spherically symmetric scalar field with a specific coupling which depends on the Areal Radius. Suitable boundary conditions ensure the existence of an axis of symmetry and consequently a single asymptotic past and future (as opposed to a pair of left and right ones). The scalar field stress energy takes the form of null dust. Its classical collapse is described by the  Vaidya solution. From a two dimensional $(r,t)$ perspective, the scalar field is conformally coupled so that its quantum stress energy expectation value is well defined. Quantum back reaction is then incorporated through an explicit formulation of the 4d semiclassical  Einstein equations.The semiclassical solution describes black hole formation together with its subsequent evaporation along a timelike apparent horizon.  A balance law at future null infinity relates the rate of change of  a back reaction-corrected Bondi mass to a  manifestly {\em positive} flux.
The detailed form of this balance law together with a proposal for the dynamics of the true degrees of freedom underlying the putative non-perturbative quantum gravity theory is supportive of the paradigm of singularity
resolution and information recovery proposed by Ashtekar and Bojowald.  In particular all the information
including that in the collapsing matter is expected, in our proposed scenario, to emerge along a single quantum extended future null infinity.

Primary author

Presentation materials