Conformal Invariance of the Newtonian Weyl Tensor
arXiv:2009.09733 · doi:10.1007/s10701-020-00386-w
Abstract
It is well-known that the conformal structure of a relativistic spacetime is of profound physical and conceptual interest. In this note, we consider the analogous structure for Newtonian theories. We show that the Newtonian Weyl tensor is an invariant of this structure.
arXiv comment10 pages, forthcoming in Foundations of Physics
References in corpus (9)
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Connections and dynamical trajectories in generalised Newton-Cartan gravity I. An intrinsic view
- From Brans-Dicke gravity to a geometrical scalar-tensor theory
- Gravity between Newton and Einstein
- Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a nonperturbative approximation
- The Teleparallel Equivalent of Newton-Cartan Gravity
- Conformal and projective symmetries in Newtonian cosmology
- On Gravitational Energy in Newtonian Theories
- On the Newtonian Limit of the Weyl Tensor