General Relativity and Cosmology

Lecture in summer term 2022

organised by: Jochen Heitger und Raimar Wulkenhaar

Di 12-14 and Do 14-16 im KP404

Further information given in the learnweb

Topics

General Theory of Relativity: brief recap of special relativity, equivalence principle, semi-Riemannian geometry, Einstein's field equations, Schwarzschild solution and implications (perihelion shift, deflection of light), black holes, gravitational waves

Cosmology: Robertson-Walker metric, Friedmann-Lemaitre equations and world models, early universe, accelerated expansion of the universe, dark matter, experimental methods and results of cosmology

Literature

Newer books:

T. P. Cheng: Relativity, Gravitation and Cosmology (Oxford University Press, 2009)

E. Rebhan: Theoretische Physik - Relativitätstheorie und Kosmologie (Spektrum Akademischer Verlag, 2011)

R. d'Inverno: Einführung in die Relativitätstheorie (Wiley-VCH, 2009)

L. H. Ryder: Introduction to General Relativity (Cambridge University Press, 2009)

J. B. Hartle: Gravity - An Introduction to Einstein's General Relativity (Cambridge University Press, 2021)

S. M. Carroll: Spacetime and Geometry (Addison Wesley, 2004)

S. M. Carroll: Lecture notes on general relativity (arXiv: gr-qc/9712019)

Classic texts:

A. Einstein: Grundzüge der Relativitätstheorie (Springer, 2008)

L. D. Landau, E. M. Lifshitz: Lehrbuch der Theoretischen Physik II - Klassische Feldtheorie (Harri Deutsch, 1997)

S. Weinberg: Gravitation and Cosmology (Oxford University Press, 2008)

P. A. M. Dirac: General Theory of Relativity (Princeton University Press, 1996)

H. Stephani: Allgemeine Relativitätstheorie (Wiley-VCH, 1999)

C. Misner, K. Thorne, J. Wheeler: Gravitation (Princeton University Press, 2018)

R. Sexl, H. Urbantke: Gravitation und Kosmologie (Spektrum Akademischer Verlag, 2002)