Non-relativistic Hybrid Geometry with Gravitational Gauge-Fixing Term
High Energy Physics - Theory
2020-02-26 v2 General Relativity and Quantum Cosmology
Abstract
We search a gravitational system which allows a non-relativistic hybrid geometry interpolating the Schr\"odinger and Lifshitz spacetimes as a solution, as a continuation of the previous work employing a flow equation. As such a candidate an Einstein-Maxwell-Higgs system naturally arises and we verify that this system indeed supports the hybrid geometry with the help of a gauge-fixing term for diffeomorphism. As a result, this gravitational system may be interpreted as a holographic dual of a general non-relativistic system at the boundary.
Keywords
Cite
@article{arxiv.1910.11032,
title = {Non-relativistic Hybrid Geometry with Gravitational Gauge-Fixing Term},
author = {Sinya Aoki and Janos Balog and Shuichi Yokoyama and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1910.11032},
year = {2020}
}
Comments
13 pages, no figure, v2: minor errors corrected, comments and a reference added