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Wheeler-DeWitt equation in Null-foliated spacetimes
by Abhishek Mehta
|As Contributors:||Abhishek Mehta|
|Submitted by:||Mehta, Abhishek|
|Submitted to:||SciPost Physics Core|
|Subject area:||Gravitation, Cosmology and Astroparticle Physics|
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.