arXiv subjects

Mert Ergen

Publications and source records attributed to Mert Ergen.

2 recordsLinked to original sources

arXiv2024

A Generally Covariant Model of Spacetime as a 4-Brane in 4+1 Flat Dimensions

We construct a simple toy model of a closed FLRW spacetime by starting from a flat five dimensional scalar field space. The action contains no curvature terms. A string-like potential is used for the field space. The model is fully covariant and the spacetime metric is uniquely determined from the dynamical equations of the metric tensor. An SO(4) invariant ansatz for the scalar fields is shown to be sufficient to build the FLRW cosmology.

gr-qc↗

arXiv2020

Oddity in nonrelativistic, strong gravity

We consider the presence of odd powers of the speed of light $c$ in the covariant nonrelativistic expansion of General Relativity (GR). The term of order $c$ in the relativistic metric is a vector potential that contributes at leading order in this expansion and describes strong gravitational effects outside the (post-)Newtonian regime. The nonrelativistic theory of the leading order potentials contains the full non-linear dynamics of the stationary sector of GR.

gr-qc↗