Polynomial form of the Hilbert–Einstein action

2005/07/31 by M. O. Katanaev · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential geometry #Einstein #General relativity #Hilbert space #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Polynomial #Pure mathematics #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-006-0310-5

published as Gen.Rel.Grav.38:1233-1240,2006 · 8 pages, references added and corrected

arxiv created 2006/07/03 · openalex publication_date 2006/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Configuration space of general relativity is extended by inclusion of the determinant of the metric as a new independent variable. As the consequence the Hilbert-Einstein action takes a polynomial form.

Citations

• New Hamiltonian formulation of general relativity
• A new improved energy-momentum tensor
• Die Grundlage der allgemeinen Relativitätstheorie
• Lectures on Loop Quantum Gravity
• The Foundation of the General Theory of Relativity (1916)

Cited by

• Gravity with more or less gauging
• Einstein field equations [wikipedia]