Spherically symmetric gravity as a completely integrable system.

DOI10.1016/0550-3213(94)90293-3zbMath1049.83510arXivgr-qc/9401032OpenAlexW3103450480WikidataQ125584588 ScholiaQ125584588MaRDI QIDQ1967503

H. A. Kastrup, Thomas Thiemann

Publication date: 6 March 2000

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9401032

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (19)

BLACK HOLE AREA QUANTIZATION ⋮ Non-perturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter ⋮ Isomonodromic quantization of dimensionally reduced gravity ⋮ The action of HRT-areas as operators in semiclassical gravity ⋮ Quantum mechanical spectra of charged black holes ⋮ Entropic corrected Newton's law of gravitation and the loop quantum black hole gravitational atom ⋮ The action of geometric entropy in topologically massive gravity ⋮ Gravitational collapse in loop quantum gravity ⋮ The Hamiltonian constraint in the teleparallel equivalent of general relativity ⋮ Exact path integral quantization of generic 2D dilaton gravity ⋮ Loop quantum cosmology ⋮ Quantization of midisuperspace models ⋮ Dilaton gravity in two dimensions ⋮ Loop quantum cosmology ⋮ Semiclassical loop quantum black hole ⋮ Quantum mechanics of charged black holes ⋮ Signatures of an emergent gravity from black hole entropy ⋮ Boundary conditions and quasilocal energy in the canonical formulation of all \(1+1\) models of gravity ⋮ Canonical Quantization of Cylindrical Gravitational Waves with Two Polarizations

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Role of surface integrals in the Hamiltonian formulation of general relativity
• The Poincaré group as the symmetry group of canonical general relativity
• Unitary Representations of the Affine Group
• The Large Scale Structure of Space-Time
• Unnamed Item

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