The final state of spherical gravitational collapse can be analyzed applying to the geodesic equations governing the behavior of light rays near the singularity relatively simple but powerful techniques of nonlinear ordinary differential equations. In this way, explicit use of exact solutions of Einstein's field equations is not necessary, and results can be obtained for wide equations of state of the collapsing matter field.
Application of ODE techniques to spherical gravitational collapse: Methods and results
GIAMBO', Roberto;GIANNONI, Fabio;
2016-01-01
Abstract
The final state of spherical gravitational collapse can be analyzed applying to the geodesic equations governing the behavior of light rays near the singularity relatively simple but powerful techniques of nonlinear ordinary differential equations. In this way, explicit use of exact solutions of Einstein's field equations is not necessary, and results can be obtained for wide equations of state of the collapsing matter field.File in questo prodotto:
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International Journal of Geometric Methods in Modern Physics, 2016, 13, 5, 16300051.pdf
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