Some Comments on Wheeler De Witt Equation for Gravitational Collapse and the Problem of Time
Carlos Pinheiro (UFES, Brazil), F.C. Khanna (UofA, Canada)
TL;DR
This paper explores the Wheeler-DeWitt equation in the context of spherically symmetric gravitational collapse with a massive scalar field, addressing the problem of time and proposing solutions that include time evolution.
Contribution
It introduces a Hamiltonian formulation for scalar field collapse and discusses the emergence of time within the Wheeler-DeWitt framework using an Ansatz.
Findings
Solutions suggest the appearance of time evolution in quantum gravitational collapse
The approach provides insights into the problem of time in quantum gravity
The Hamiltonian formulation aids in understanding scalar field collapse dynamics
Abstract
We write the Hamiltonian for a gravitational spherically symmetric scalar field collapse with massive scalar field source, and we discuss the application of Wheeler De Witt equation as well as the appearence of time in this context. Using an Ansatz for Wheeler De Witt equation, solutions are discussed including the appearence of time evolution.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Stochastic processes and financial applications