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Applications of Exterior Algebra in Physics: frame dragging and analogue models of gravity

Grant number: 18/00202-6
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2018
Effective date (End): August 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Maurício Richartz
Grantee:Eduardo Leme Chica
Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated research grant:13/09357-9 - Physics and geometry of spacetime, AP.TEM


Exterior Algebra and differential forms have several applications in Mathematics and Physics, allowing a simpler and more concise description of Maxwell's electromagnetism and Einstein's General Relativity. From fundamental mathematical concepts, like the definitions of manifolds and tensors, this undergraduate research project proposes a detailed and mathematically rigorous study of differential forms. Our end goal is to apply the concepts learned to two different systems: in electromagnetism and in the frame dragging effect of Lense-Thirring. (AU)

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