SÉMINAIRE DU GRECO
"Formulations of Einstein equations" |
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Isabel Cordero-Carrión |
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A relativistic treatment of gravity is necessary to understand the processes involved in a lot of interesting astrophysical phenomenas, including the evolution of compact objects (e.g., black holes and neutron stars) and surrounding matter. Einstein equations can be written in a set of partial differential equations in several ways, the so-called formulations of Einstein equations. Appropriate mathematical properties of the resulting equations guarantee success of posterior numerical simulations. A theoretical work to analyse these properties is crucial to select the most convenient numerical methods and tools to integrate in time the equations. I will talk about some of the most important formulations resulting from different approaches, their main properties and the most used numerical methods to evolve them numerically. I will comment also how the gravitational radiation is encoded in the different formulations. This radiation will become a new window in astronomy and numerical templates can help to detect it from the data of the current and future gravitational wave observatories. |
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lundi 12 novembre 2012 - 11:00 Salle des séminaires François Arago, Institut d'Astrophysique de Paris |
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