Study of physical effects in the vicinity of a black hole as the basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat spacetime; the metric; curvature or spacetime near rotating and nonrotating centers of attraction; the Global Positioning System and its dependence on general relativity; trajectories and orbits of particles. Subject has online component and classroom lectures are replaced with online interactions: manipulation of visualization software, access to websites describing current research, electronic submission of homework, and structured online discussions between undergraduates and alumni and with instructors and graduate specialists in the topics covered.
Normally taken by physics majors in their sophomore year. Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; particle collisions. Relativity and electricity; Coulomb's law; magnetic fields. Brief introduction to Newtonian cosmology. Introduction to some concepts of General Relativity; principle of equivalence. The Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, Shapiro delay. This course, which concentrates on special relativity, is normally taken by physics majors in their sophomore year. Topics include Einstein's postulates, the Lorentz transformation, relativistic effects and paradoxes, and applications involving electromagnetism and particle physics. This course also provides a brief introduction to some concepts of general relativity, including the principle of equivalence, the Schwartzschild metric and black holes, and the FRW metric and cosmology.
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