Title: Introduction to Einstein-Maxwell Equations
Abstract: Maxwell's equations reveal the fundamental relations between electricity and magnetism. They can be formulated in various equivalent ways under the idea of unification. In this talk, I will formulate Maxwell's equations using differential forms and tensor calculus. We will see there are at least two benefits of tensorizing spacetime, electric-magnetic field, and energy-momentum: this provides a covariant formulation of Maxwell's equation; and, we obtain a crucial term that appears in Einstein field equation of general relativity.
