An approach to stability analyses in general relativity via symplectic geometry
Abstract We begin with a review of the statements of non-linear, linear and mode stability of autonomous dynamical systems in classical mechanics, using symplectic geometry. We then discuss what the Arnowitt–Deser–Misner (ADM) phase space and the ADM Hamiltonian of general relativity are, what const...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-08-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s40065-019-0266-4 |