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SUMMARY:The geodesic hypothesis in general relativity - Oxbridge PDE Days 
 - Dr Shiwu Yang\, DPMMS
DTSTART:20140321T103000Z
DTEND:20140321T113000Z
UID:TALK51583@talks.cam.ac.uk
CONTACT:36127
DESCRIPTION:I am going to give a rigorous derivation of Einstein's geodesi
 c hypothesis in general relativity. We use small material bodies governed 
 by a class of nonlinear Klein-Gordon equations to approximate the test par
 ticle. Given a vacuum spacetime\, we consider the initial value problem fo
 r the Einstein-scalar field system. For such particles with sufficiently s
 mall amplitude and size\, we prove that the Einstein-scalar field system c
 an be solved up to any given time. Moreover\, the energy of the particle i
 s concentrated along a time-like geodesic and the gravitational field prod
 uced by the particle is negligibly small in C^1\, that is\, the spacetime 
 metric is C^1 close to the given vacuum metric.\n\nhttp://www.maths.cam.ac
 .uk/postgrad/cca/oxbridgepde2014.html
LOCATION:MR2
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