Comprehensive introduction to "Gravitation and Cosmology" from the experimental as well as theoretical side.
Experiments show: 1. The equivalence principle is confirmed to high experimental accuracy. This leads to general relativity. 2. Theoretical predictions of general relativity agree with experiments at solar but not at cosmological scales. 3. At large scales our universe is flat. 4. The origin of mass necessary for a flat universe is unknown. Visible matter in stars or more generally baryonic matter just accounts for a few percent. This motivates experiments of gravity in all accessible domains. 5. We aim at broadly discussing experiments and measurements in gravity and cosmology, from the micrometer scale, motivated by superstring theory to measurements of galaxy rotations and cosmology. In parallel we will give a theoretical introduction to theories of gravity and cosmology. Also, we will discuss recent theoretical developments of gravity and cosmology like chameleons, galleons, etc. and discuss experimental approaches to such concepts.
Introduction to "Gravitation and Cosmology" from experiment and theory;
Gravitation: in non-relativistic and relativistic physics, implications of the equivalence principle, space-time structure and tensor analysis (unconnected manifold, affinity connected manifold, metrically connected manifold), Einstein equations, Schwarzschild solution, modern tests of gravity (with quantum interference, satellite-experiments, spin-mass-coupling, equivalence principle and Einstein equations);
Cosmology: part I: homogenous und isotropic universe, expanding universe, inflation and accelerating universe; part II: recent developments beyond the cosmological standard model (screening mechanism, chameleons, galileons,...)
Briefing: Monday, 5 October, 13.00 Freihaus HS 6
Start of lecture: Tuesday, 6 October, 10.30 FH, HS 7
Spacetime and Geometry, An Introduction to General Relativity, Sean M. Carroll, Addison Wesley • Das meiste davon gibt es als Lecture notes von Carroll auf seiner pers. Homepage • Oder als Schnellkurs, „a No-Nonsense Introduction To General Relativity“ Gravitation, U.E. Schröder, Harri Deutsch (Mathemat. Verständnis: Geometrical methods of mathematical physics, Bernard Schutz, Cambridge University Press) The Search for Non-Newtonian Gravity, E. Fischbach, C.L. Talmadge, Springer 1999 Gyros, Clocks, Interferometers…: Testing Relativistic Gravity in Space, C. Laemmerzahl, C.W.F. Everitt, F.W. Hehls (Eds.), LNP, Springer 2001 Quantum Gravity, From Theory to Experimental Search, D. Giulini et al., Lecture Notes in Physics, Springer, 2003 The Confrontation between General Relativity and Experiment, C. M. Will, http://relativity.livingreviews.org/Articles/lrr-2001-4/
