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Non-relativistic expansion of the Einstein-Hilbert Lagrangian
Institut für Theoretische Physik, Eidgenössische Technische Hochschule Zürich Wolfgang-Pauli-Strasse 27, 8093 Zürich, Switzerland, Wolfgang-Pauli-Strasse 27.
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Peter Guthrie Tait road, Edinburgh EH9 3FD, UK, Peter Guthrie Tait road.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden, Roslagstullsbacken 23; The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark, Blegdamsvej 17.ORCID iD: 0000-0003-4947-8526
2022 (English)In: 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018, World Scientific Publishing Co. Pte. Ltd. , 2022Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
World Scientific Publishing Co. Pte. Ltd. , 2022.
Keywords [en]
Newton-Cartan geometry, Non-relativistic gravity, Post-Newtonian expansion
National Category
Astronomy, Astrophysics and Cosmology Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-351765Scopus ID: 2-s2.0-85199577644OAI: oai:DiVA.org:kth-351765DiVA, id: diva2:1888732
Conference
15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018, Rome, Italy, Jul 1 2018 - Jul 7 2018
Note

QC 20240815

Available from: 2024-08-13 Created: 2024-08-13 Last updated: 2024-08-15Bibliographically approved

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Obers, Niels A.

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