# 136.002 Geometry and Gravitation -- Differential Geometry and General Relativity This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2024S 2023S 2022S 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S 2012S 2011S 2010S 2008W 2007W 2006W 2005W 2004W 2003W 2002W

2023S, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Online

## Learning outcomes

After successful completion of the course, students are able to are in postion to reproduce the  contnts as outlined in detail in the english version of "Lehrinhalte" in written as well as oral form. Moreover the students will be able to apply the basic concepts of  Geometrie und Gravitation I to simple examples.

## Subject of course

1 Kruskal-extension of Schwarzschild, Conformal compactification, Penrose diagrams 2 Geometry of null-congruences, Sachs equations, Rotating black holes, Kerr geometry 3 Gaussian coordinates, ADM decomposition, Extrinsic curvature and initial value problem, Hamiltonian formulation 4 Cosmological principle, Homogeneity and Isotropy, Fiedmann-Robertson-Walker Geometries, Hubble's law and scalefactor 5 Variational principle, Einstein-Hilbert action and Hawking-boundary term, Concepts from Euclidean Quantum Gravity, Hawking temperature

## Teaching methods

lecture with a strong and active student participation.

Oral

## Course dates

DayTimeDateLocationDescription
Tue10:00 - 12:0007.03.2023 - 27.06.2023EI 8 Pötzl HS - QUER BALASIN
Geometry and Gravitation -- Differential Geometry and General Relativity - Single appointments
DayDateTimeLocationDescription
Tue07.03.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue14.03.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue21.03.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue28.03.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue18.04.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue25.04.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue02.05.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue09.05.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue16.05.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue23.05.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue06.06.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue13.06.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue20.06.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN
Tue27.06.202310:00 - 12:00EI 8 Pötzl HS - QUER BALASIN

oral exam

Not necessary

## Curricula

Study CodeObligationSemesterPrecon.Info
066 461 Technical Physics Mandatory elective
810 Technical Physics Mandatory elective
860 GW Optional Courses - Technical Mathematics Not specified

## Literature

No lecture notes are available.

German