Non-relativistic gravity theories in four spacetime dimensions
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.
Más información
Título según WOS: | ID WOS:000936984800011 Not found in local WOS DB |
Título de la Revista: | JOURNAL OF HIGH ENERGY PHYSICS |
Número: | 2 |
Editorial: | Springer |
Fecha de publicación: | 2023 |
DOI: |
10.1007/JHEP02(2023)191 |
Notas: | ISI |