Non-relativistic expansion of the Einstein-Hilbert Lagrangian

Dennis Hansen; Jelle Hartong; Niels A. Obers

Non-relativistic expansion of the Einstein-Hilbert Lagrangian

Dennis Hansen, Jelle Hartong^*, Niels A. Obers

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract / Description of output

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.

Original language	English
Publication status	Published - 31 Aug 2022
Event	15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018 - Rome, Italy Duration: 1 Jul 2018 → 7 Jul 2018

Conference

Conference	15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018
Country/Territory	Italy
City	Rome
Period	1/07/18 → 7/07/18

Keywords / Materials (for Non-textual outputs)

Newton-Cartan geometry
Non-relativistic gravity
Post-Newtonian expansion

Cite this

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title = "Non-relativistic expansion of the Einstein-Hilbert Lagrangian",

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.",

keywords = "Newton-Cartan geometry, Non-relativistic gravity, Post-Newtonian expansion",

author = "Dennis Hansen and Jelle Hartong and Obers, {Niels A.}",

note = "Publisher Copyright: {\textcopyright} Relativistic Field Theories, MG 2018. All rights reserved.; 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018 ; Conference date: 01-07-2018 Through 07-07-2018",

year = "2022",

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Non-relativistic expansion of the Einstein-Hilbert Lagrangian. / Hansen, Dennis; Hartong, Jelle; Obers, Niels A.
2022. Paper presented at 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018, Rome, Italy.

Research output: Contribution to conference › Paper › peer-review

TY - CONF

T1 - Non-relativistic expansion of the Einstein-Hilbert Lagrangian

AU - Hansen, Dennis

AU - Hartong, Jelle

AU - Obers, Niels A.

PY - 2022/8/31

Y1 - 2022/8/31

N2 - 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.

AB - 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.

KW - Newton-Cartan geometry

KW - Non-relativistic gravity

KW - Post-Newtonian expansion

UR - http://www.scopus.com/inward/record.url?scp=85199577644&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85199577644

T2 - 15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018

Y2 - 1 July 2018 through 7 July 2018

ER -

Non-relativistic expansion of the Einstein-Hilbert Lagrangian

Abstract / Description of output

Conference

Keywords / Materials (for Non-textual outputs)

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Cite this