Non-relativistic expansion of the Einstein-Hilbert Lagrangian

2019/05/31 by Dennis Schrøder Hansen, Hansen, Dennis, Jelle Hartong +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1905.13723

openalex publication_date 2019/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a systematic technique to expand the Einstein-Hilbert Lagrangian in inverse powers of the speed of light squared. The corresponding result for the non-relativistic gravity Lagrangian is given up to next-to-next-to-leading order. The techniques are universal and can be used to expand any Lagrangian theory whose fields are a function of a given parameter.

Cited by

• L_∞-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings
• Notes on su(1,2)⊕u(1) Chern-Simons theory and Torsional Newton-Cartan gravity

Related

• Constructing metric gravity's N-body non-linear Lagrangian from\n iterative, linear algebraic scaling equations
• Alternative Lagrangians for Einstein Metrics
• A Systematic Lagrangian Formulation for Quantum and Classical Gravity at High Energies
• Perturbative Approach For Non Renormalizable Theories
• Restricted Gravity: Lagrangian Formalism and Explicit Solutions