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The Weiss variation in gravitation theory

Oct. 27 - 14:30 - 2022

Speaker: Justin Feng (CENTRA)

Title: The Weiss variation in gravitation theory

The Weiss variation formalism in mechanics and classical field theory concerns action variations that include explicit endpoint/boundary displacements. The Weiss variation is useful in field theory because it can be used to obtain expressions for the conjugate momenta and Hamiltonian without performing an explicit 3+1 decomposition beforehand. In this talk, I review the Weiss variation in mechanics, classical field theory, and in gravitation. In general relativity, one can recover (by way of an auxiliary connection formalism) a tensorial generalization of the Einstein canonical energy-momentum pseudotensor, as well as a reference-dependent Hamiltonian. In addition to discussing the Weiss variation in general relativity, I comment on some applications of the Weiss variation formalism for modified gravity theories.

Room: Sala de Reuniões e Seminários (2-8.3) (2nd Floor of Physics Building)

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