Canonical analysis of new non-relativistic string action and uniform light-cone gauge formulation

We perform canonical analysis of new non-relativistic string action that was found recently in [32]. We also discuss its gauge fixed form.

An integrable geometrical foundation of gravity

In a talk at the conference Geometrical Foundations of Gravity at Tartu[Formula: see text] 2017, it was suggested that the affine spacetime connection could be associated with purely fictitious forces. This leads to gravitation in a flat and smooth geometry. Fermions are found to nevertheless couple with the metrical connection and a phase gauge field. The theory is reviewed in this proceeding in a Palatini, and in a metric-affine gauge formulation.

A PERTURBATION APPROACH TO TRANSLATIONAL GRAVITY

Within a gauge formulation of 3+1 gravity relying on a nonlinear realization of the group of isometries of space-time, a natural expansion of the metric tensor arises and a simple choice of the gravity dynamical variables is possible. We show that the expansion parameter can be identified with the gravitational constant and that the first-order depends only on a diagonal matrix in the ensuing perturbation approach. The explicit first-order solution is calculated in the static isotropic case, and its general structure is worked out in the harmonic gauge.