Relativistic geoids and time dependence: quasilocal frames versus isochronometric surfaces
Abstract
In a recent paper [D. Philipp, V. Perlick, D. Puetzfeld, E. Hackmann, and C. L\"ammerzahl, Phys. Rev. D 95, 104037 (2017)], a definition of a general-relativistic geoid, restricted to stationary spacetimes, was presented in terms of "isochronometric surfaces". In this note, we explicate how this definition is just a special, highly restrictive case of our earlier formulation of the general-relativistic geoid using quasilocal frames, which is valid for generic, non-stationary spacetimes [M. Oltean, R.J. Epp, P.L. McGrath, and R.B. Mann, Class. Quantum Grav. 33, 105001 (2016)]. Moreover, like the isochronometric surface geoid, we show how our "geoid quasilocal frame" (GQF) can also be defined, simply and operationally, in terms of redshift measurements.
Keywords
Cite
@article{arxiv.1706.00791,
title = {Relativistic geoids and time dependence: quasilocal frames versus isochronometric surfaces},
author = {Marius Oltean and Richard J. Epp and Paul L. McGrath and Robert B. Mann},
journal= {arXiv preprint arXiv:1706.00791},
year = {2017}
}
Comments
6 pages, 1 figure