The Ehlers–Geroch theorem on geodesic motion in general relativity

dc.contributor.authorBezares, Miguel
dc.contributor.authorPalomera, Gonzalo
dc.contributor.authorPons, Daniel J.
dc.contributor.authorReyes, Enrique G.
dc.date.accessioned2016-01-28T11:01:10Z
dc.date.available2016-01-28T11:01:10Z
dc.date.issued2015
dc.description.abstractWe 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).
dc.identifier.citationInternational Journal of Geometric Methods in Modern Physics, 2015, vol. 12, n° 03, 19 p.
dc.identifier.urihttp://hdl.handle.net/11447/213
dc.identifier.urihttp://dx.doi.org/10.1142/S0219887815500346
dc.language.isoen_US
dc.subjectGeodesic motion
dc.subjectdominant energy condition
dc.subjectaveraged dominant energy condition
dc.subject(3 + 1)-spacetime decomposition
dc.titleThe Ehlers–Geroch theorem on geodesic motion in general relativity
dc.typeArtículo

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