6 papers
Geometrizing non-relativistic bilinear deformations
Dennis Hansen, Yunfeng Jiang, Jiuci Xu
We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the deform…
Galilean first-order formulation for the non-relativistic expansion of general relativity
Dennis Hansen, Jelle Hartong, Niels A. Obers +1
We reformulate the Palatini action for general relativity (GR) in terms of moving frames that exhibit local Galilean covariance in a large speed of light expansion. For this, we ex…
Non-Relativistic Gravity and its Coupling to Matter
Dennis Hansen, Jelle Hartong, Niels A. Obers
We study the non-relativistic expansion of general relativity coupled to matter. This is done by expanding the metric and matter fields analytically in powers of where …
Non-relativistic expansion of the Einstein-Hilbert Lagrangian
Dennis Hansen, Jelle Hartong, Niels A. Obers
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 gravi…
Gravity between Newton and Einstein
Dennis Hansen, Jelle Hartong, Niels A. Obers
Statements about relativistic effects are often subtle. In this essay we will demonstrate that the three classical tests of general relativity, namely perihelion precession, deflec…
Action Principle for Newtonian Gravity
Dennis Hansen, Jelle Hartong, Niels A. Obers
We derive an action whose equations of motion contain the Poisson equation of Newtonian gravity. The construction requires a new notion of Newton--Cartan geometry based on an under…