## SciPost Submission Page

# 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 |

### Abstract

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.

###### Current status:

Editor-in-charge assigned

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...."