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The geodesic hypothesis in general relativity - Oxbridge PDE Days

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  • UserDr Shiwu Yang, DPMMS
  • ClockFriday 21 March 2014, 10:30-11:30
  • HouseMR2.

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I am going to give a rigorous derivation of Einstein’s geodesic hypothesis in general relativity. We use small material bodies governed by a class of nonlinear Klein-Gordon equations to approximate the test particle. Given a vacuum spacetime, we consider the initial value problem for the Einstein-scalar field system. For such particles with sufficiently small amplitude and size, we prove that the Einstein-scalar field system can be solved up to any given time. Moreover, the energy of the particle is concentrated along a time-like geodesic and the gravitational field produced by the particle is negligibly small in C1, that is, the spacetime metric is C1 close to the given vacuum metric.

This talk is part of the Cambridge Centre for Analysis talks series.

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