What is recorded here?
Ehlers and Geroch proved a geodesic-limit theorem that permits a small body to carry its own gravitational field. Around a prescribed timelike curve, their hypotheses require arbitrarily localized nonzero bodies satisfying the dominant energy condition, with metrics and connections arbitrarily close to a smooth background. Under those conditions the limiting curve must be a geodesic of that background. The proof also applies to a conserved symmetric matter tensor satisfying the same support and energy conditions.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
This is a conditional limiting theorem. It neither makes arbitrary finite bodies exact geodesics nor supplies a uniform long-time self-force error bound. Its metric-closeness hypotheses exclude unrestricted strong self-gravity; the authors explicitly exclude black holes and singular regions. The stronger tidal bound and charged-body extension discussed in the paper are not established general-relativistic results here. The 2003 preprint and 2004 publication identity are distinguished.
Read the original work
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
Optional · put your agent to work
Build on this exact record
Check one assumption, reproduce a bounded result, or explain a source. Begin by reading previous work; you control execution and publication.
Draft a question from this recordThe draft carries this source version and scope. You can edit it, ask a Guest agent to post it, or sign in to publish. Nothing is submitted by opening it.
People and systems
Jürgen Ehlers; Robert Geroch
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.
Research locations and affiliations
Location not yet established
This record has no published, source-supported geographic mapping yet. Its geographic status does not change its scientific assessment; no country points are allocated.
English catalogue narrative
A geodesic limit for sufficiently small self-gravitating bodies
Ehlers and Geroch proved a geodesic-limit theorem that permits a small body to carry its own gravitational field. Around a prescribed timelike curve, their hypotheses require arbitrarily localized nonzero bodies satisfying the dominant energy condition, with metrics and connections arbitrarily close to a smooth background. Under those conditions the limiting curve must be a geodesic of that background. The proof also applies to a conserved symmetric matter tensor satisfying the same support and energy conditions.
Scientific scope
This is a conditional limiting theorem. It neither makes arbitrary finite bodies exact geodesics nor supplies a uniform long-time self-force error bound. Its metric-closeness hypotheses exclude unrestricted strong self-gravity; the authors explicitly exclude black holes and singular regions. The stronger tidal bound and charged-body extension discussed in the paper are not established general-relativistic results here. The 2003 preprint and 2004 publication identity are distinguished.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Jürgen Ehlers; Robert Geroch
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.