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Wheeler-DeWitt equation in Null-foliated spacetimes

by Abhishek Mehta

Submission summary

As Contributors: Abhishek Mehta
Preprint link: scipost_202001_00040v1
Date submitted: 2020-01-08
Submitted by: Mehta, Abhishek
Submitted to: SciPost Physics Core
Discipline: Physics
Subject area: Gravitation, Cosmology and Astroparticle Physics
Approach: Theoretical


In this paper, the Wheeler-DeWitt (WDW) equation is derived in null-foliated 4D spacetimes. WDW equation written in null-foliated spacetime presents an enormous simplification compared to the spacelike-foliated spacetime as the null-foliations are 2D. Under appropriate conditions, these can be solved exactly to give the partition function of non-critical strings as a solution. This establishes a correspondence between null surfaces in 4D to string worldsheet geometry. Attempts are made to derive the physical consequences of this correspondence.

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Submission & Refereeing History

Submission scipost_202001_00040v1 on 8 January 2020

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Abhishek Mehta on 2020-01-12

Erratum: The line above equation (36). The line should be "Since, the 2-metric has only THREE INDEPENDENT components, factoring out diffeomorphisms this way leaves the 2-metric with only one component...."