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Non-relativistic gravity theories in four spacetime dimensions.
- Source :
-
Journal of High Energy Physics . Feb2023, Vol. 2023 Issue 2, p1-23. 23p. - Publication Year :
- 2023
-
Abstract
- In this work we present a non-relativistic gravity theory defined in four spacetime dimensions using the MacDowell-Mansouri geometrical formulation. We obtain a Newtonian gravity action which is constructed from the curvature of a Newton-Hooke version of the so-called Newtonian algebra. We show that the non-relativistic gravity theory presented here contains the Poisson equation in presence of a cosmological constant. Moreover we make contact with the Modified Newtonian Dynamics (MOND) approach for gravity by considering a particular ansatz for a given gauge field. We extend our results to a generalized non-relativistic MacDowell-Mansouri gravity theory by considering a generalized Newton-Hooke algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GRAVITY
*SPACETIME
*COSMOLOGICAL constant
*SPACE-time symmetries
*GAUGE symmetries
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162507977
- Full Text :
- https://doi.org/10.1007/JHEP02(2023)191