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A new approach to the Newman-Penrose formalism

Andrea Nerozzi
CENTRA

Abstract
The Newman-Penrose (NP) formalism is widely used in general and numerical relativity. It is within this formalism that Teukolsky wrote its famous master equation in 1973 to describe perturbations of a rotating black hole space-times. Also, numerical relativists use the formalism to extract information about gravitational waves when simulating the collisions of compact objects. The gauge choice (tetrad choice) is of key importance in the formalism and allows the direct association of the variables introduced to the physical degrees of freedom. I will present a new approach to the Newman-Penrose formalism based on self-dual forms and a specific gauge choice named “transverse frame” that allows to rewrite the NP equations in a much more compact way, providing not only an optimised tool to extract gravitational waves from numerical simulations but also a promising basisfor a standalone numerical approach based on the NP formalism.

2016 January 19, 10:30

IA/U.Lisboa
Faculdade de CiÍncias da Universidade de Lisboa (C6.2.51)
Campo Grande, 1749-016 Lisboa

Instituto de Astrof√≠sica e Ci√™ncias do Espa√ßo Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia