@article{cdea98dcc3c141bfbf09bcf9df31e1e6,
title = "The Ehlers-Geroch theorem on geodesic motion in general relativity",
abstract = "We provide a detailed and rigorous proof of (a generalized version of) the Ehlers-Geroch theorem on geodesic motion in metric theories of gravity: we assume that (M, g) is a spacetime satisfying an averaged form of the dominant energy condition and some further technical assumptions indicated in the bulk of this paper. Then, a small body which is allowed to deform the original spacetime metric g moves, nonetheless, along a geodesic of (M, g).",
keywords = "(3 + 1)-spacetime decomposition, Geodesic motion, averaged dominant energy condition, dominant energy condition",
author = "Miguel Bezares and Gonzalo Palomera and Pons, {Daniel J.} and Reyes, {Enrique G.}",
note = "Funding Information: G. Palomera and M. Bezares thank USACH for financial support during their M.Sc. studies. M. Bezares, G. Palomera and E. G. Reyes acknowledge support from FONDECYT (Fondo Nacional de Ciencia y Tecnolog{\'i}a) Grant #1111042. These three authors also thank the members of the Department of Mathematics of the Universidad Nacional Andr{\'e}s Bello for their hospitality while they and D. J. Pons were working on this paper. Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",
year = "2015",
month = mar,
day = "25",
doi = "10.1142/S0219887815500346",
language = "English",
volume = "12",
journal = "International Journal of Geometric Methods in Modern Physics",
issn = "0219-8878",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",
}