Year: 2025
Type: article
Abstract: A bstract We consider the non-relativistic limit of general relativity coupled to a ( p +1)-form gauge field and a scalar field in arbitrary dimensions and investigate under which conditions this gives rise to a Poisson equation for a Newton potential describing Newton-Cartan gravity outside a massive p -dimensional extended object, a so-called p -brane. Given our Ansatz, we show that not all the p -branes satisfy the required conditions. We study theories whose dynamics is defined by a Lagrangian as well as systems that are defined by a set of equations of motion not related to a Lagrangian. We show that, within the Lagrangian approach, a Poisson equation can be obtained provided that the coupling of the scalar field is fine-tuned such that the non-relativistic Lagrangian is invariant under an emerging local dilatation symmetry. On the other hand, we demonstrate that in the absence of a Lagrangian a Poisson equation can be obtained from a set of equations of motion that is not dilatation invariant. We discuss how our Ansatz could be generalized such as to include more p -branes giving rise to a Poisson equation.
Source: Journal of High Energy Physics
Authors: Eric A. Bergshoeff, Giacomo Giorgi, Luca Romano
Institutions: University of Groningen, Universidad de Murcia
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Universidad de Murcia
OpenAlex ID: W4407181570