ES1 - Exact Solutions in Four and Higher Dimensions: Mathematical Aspects |
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Speaker |
Pravda, Vojtech |
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Coauthors |
S. Hervik, M. Ortaggio, A. Pravdova |
| Talk Title |
Universal electromagnetic and gravitational fields |
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Abstract |
Universal metrics are simultaneous vacuum exact solutions to all higher-order theories of gravity with the Lagrangian constructed from the metric, the Riemann tensor and its derivatives of arbitrary order. Similarly, universal electromagnetic fields are p-forms F that solve (virtually) any generalized electrodynamics (containing arbitrary derivatives and powers of F). We present necessary and sufficient conditions for universality for all four-dimensional spacetimes except the Petrov type II. We also discuss various results on universal p-forms, conditions that universality imposes on the p-forms and the background spacetime and explicit examples of universal p-forms. (See Hervik, Pravda, Pravdova, JHEP 2017, Ortaggio, Pravda CQG 2016, Ortaggio, Pravda Phys. Lett. B 2018, and Hervik, Ortaggio, Pravda, in press, 2018). |
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