UM Math Graduate Students Seminar

Armando Cabrera
University of Miami

will present

Some concepts in General Relativity

Friday, November 7, 2014, 2:30pm
Ungar Building Room 402


Abstract: 

In 1905 Albert Einstein proposed the theory that we call now Special Relativity. Although these new ideas described the consequences of the speed of light being constant, it did not include a gravitational theory. In 1916, Einstein proposed that the matter in the universe and its geometry are closely related. In this talk, we will describe the general idea of how this relation works and what type of mathematical objects are used in this field. As an example of the type of concepts/theorems in mathematical relativity, we will talk about the notion of total mass of a spacetime (ADM mass). Finally, we will obtain the total mass of the Schwazschild solution, which describes the gravitational field outside a spherical non-rotating massive body (a star or black hole).

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