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Showing 1 to 3 of 3 for “"3+1 Decomposition"”.
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ANALYZING AND IMPROVING INITIAL DATA FOR BINARY BLACK HOLES
… This starts with a presentation of the 3+1 decomposition which rewrites Einstein's field equations as a set of constraint and evolution equations. This will be followed with a discussion of the conformal thin-sandwich decomposition and excision methods which rewrite a portion of the 3+1 …
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The Legendre Transform of the Holst Action
I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's …
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Compact Objects In Relativistic Theories Of Gravity
… phenomenology. Additionally, we present the 3+1 decomposition of the field equations, a fundamental requirement to perform numerical relativity evolutions. Finally, we consider the most general scalar-tensor theory that yields second-order field equations: horndeski gravity. We first study black …