Level sets of the lapse function in static GR
General Relativity and Quantum Cosmology
2015-06-25 v3
Abstract
We present a novel physical interpretation of the level sets of the (canonical) lapse function in static isolated general relativistic space-times. Our interpretation uses a notion of 'constrained test particles'. It leads to a definition of gravitational force on test particles and to a previously unknown uniqueness result for the lapse function. In Section 5, we discuss 'photon spheres' in static isolated relativistic space-times and relate them to the level sets of the lapse function.
Cite
@article{arxiv.1309.5157,
title = {Level sets of the lapse function in static GR},
author = {Carla Cederbaum},
journal= {arXiv preprint arXiv:1309.5157},
year = {2015}
}
Comments
updated to published version. in D. Puetzfeld et al. (eds.), Equations of Motion in Relativistic Gravity, Fundamental Theories of Physics 179, Springer, 2015