Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system

Details Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18.4589c&link_type=abstract

Classical and Quantum Gravity, Volume 18, Issue 21, pp. 4589-4605 (2001).

Physics

3

Scientific paper

We prove the global unique existence of classical solutions to the Einstein equations coupled with the nonlinear Klein-Gordon equations for small initial data under spherical symmetry. We also obtain the decay estimates of the solutions. For its proof we reduce the system to a single first-order integro-differential equation, and use the contraction mapping theorem in the appropriate function spaces.

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