Fluids in Non-Commutative Spaces.

Name: Luiz Holender
Type: PhD thesis
Publication date: 27/12/2011
Advisor:

Namesort descending Role
Marco Antonio dos Santos Co-advisor *
Marcos Tadeu DAzeredo Orlando Advisor *

Examining board:

Namesort descending Role
Carlos Augusto Cardoso Passos Internal Examiner *
João Francisco Justo Filho External Examiner *
José Abdalla Helayel Neto External Examiner *
Marco Antonio dos Santos Co advisor *
Marcos Tadeu DAzeredo Orlando Advisor *

Summary: In this work, we present the results of our research on the generalization of the relativistic uids in the Kähler parametrization to noncommutative spaces by applying methods of field theory. Our proposal can be applied to a large class of uid models parametrized by two arbitrary smooth functions that generalize the Kähler potential on the surface of complex potencials of uids and the parameter
function of the state equation, respectively. We determine the constraints that the degress of freedom of the uid should satisfy in order to have the fundamental symmetries of the noncommutative geometry and calculate the physical quantities of the noncommutative fluid.

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