Derivation of Hamilton-like equations on a non-Cauchy hypersurface and their expected connection to quantum gravity theories

DOI10.1016/J.PHYSLETB.2019.135144zbMath1440.81043arXiv1905.10665OpenAlexW2995111353MaRDI QIDQ2188482

Levy Rosenblum, Merav Hadad

Publication date: 11 June 2020

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10665

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• \(3+1\) formalism in general relativity. Bases of numerical relativity.
• A new Lagrangian dynamic reduction in field theory
• The large \(N\) limit of superconformal field theories and supergravity
• The spacetime DoF surface density as canonically conjugate variables driven by acceleration
• Quantum black hole wave packet: average area entropy and temperature dependent width
• Lagrangian constraints and renormalization of 4D gravity
• Holographic quantization of gravity in a black hole background
• The holographic principle
• Einstein gravity as a 3D conformally invariant theory
• Lectures on Quantum Field Theory
• The fuzzball proposal for black holes: an elementary review
• Hamiltonian reduction of Einstein's equations of general relativity

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