\nGRlecture01.pdf<\/a>,\nGRlecture02.pdf<\/a>,\nGRlecture03.pdf<\/a>,\nGRlecture04.pdf<\/a>,\nGRlecture05.pdf<\/a>,\nGRlecture06.pdf<\/a>,\nGRlecture07.pdf<\/a>,\nGRlecture08.pdf<\/a>,\nGRlecture09.pdf<\/a>,\nGRlecture10.pdf<\/a>,\nGRlecture11.pdf<\/a>,\nGRlecture12.pdf<\/a>,\nGRlecture13.pdf<\/a>,\nGRlecture14.pdf<\/a>,\nGRlecture15.pdf<\/a>,\nGRlecture16.pdf<\/a>,\nAdvancedGeometry.pdf<\/a>,\nMaurerCartan.pdf<\/a>\n<\/li>\n\n\n\n
\nGRexercise01.pdf<\/a>,\nGRexercise02.pdf<\/a>,\nGRexercise03.pdf<\/a>,\nGRexercise04.pdf<\/a>,\nGRexercise05.pdf<\/a>,\nGRexercise06.pdf<\/a>,\nGRexercise07.pdf<\/a>,\nGRexercise08.pdf<\/a>,\nGRexercise09.pdf<\/a>,\nGRexercise10.pdf<\/a>,\nGRexercise11.pdf<\/a>,\nGRexercise12.pdf<\/a>\n<\/li>\n\n<\/ul>\n\n\n\n
Advanced General Relativity<\/h2>\n\n\n\n
The course focuses on dynamic solutions to Einstein’s field equations relevant to both cosmology and astrophysics. It covers solutions for expanding universes, rotating compact objects\u2014such as black holes and neutron stars\u2014and the collapse leading to black hole formation. A series of compulsory exercises accompanies the course. Building on topics from the recommended precursor, „Introduction to General Relativity“, this course provides the essential tools for research in General Relativity.<\/p>\n\n\n\n
- \n
- Lecture notes
\nAGRlecture01.pdf<\/a>,\nAGRlecture02.pdf<\/a>,\nAGRlecture03.pdf<\/a>,\nAGRlecture04.pdf<\/a>,\nAGRlecture05.pdf<\/a>,\nAGRlecture06.pdf<\/a>\n<\/li>\n\n\n\n- Exercise problems
\nAGRexercise01.pdf<\/a>,\nAGRexercise02.pdf<\/a>,\nAGRexercise03.pdf<\/a>,\nAGRexercise04.pdf<\/a>,\nAGRexercise05.pdf<\/a>,\nAGRexercise06.pdf<\/a>,\nAGRexercise07.pdf<\/a>,\nAGRexercise08.pdf<\/a>,\nAGRexercise09.pdf<\/a>,\nAGRexercise10.pdf<\/a>\n<\/li>\n\n\n<\/ul>\n\n\n\nNumerical Holography<\/h2>\n\n\n
![\"DKPI-lecture2\"](\"http:\/\/christianecker.com\/wp-content\/uploads\/2020\/01\/DKPI-lecture2-1024x576.png\")
<\/a>Slides and Tutorials of the lecture series held at the DKPI summer school in Zwettl (Austria) 16-20 Sep. 2019<\/p>\n- \n
- Slides: NumHolZwettl2019.pdf<\/a><\/li>\n
- Mathematica tutorial files: Tutorial.tar.gz<\/a>
(The files „tutorial_x_exercise.nb“ contain exercises for the students, where the files „tutorial_x_sol.nb“ contain the solutions to these exercises.)<\/li>\n<\/ul>\n\n\nStudent Projects <\/h2>\n\n\n\n
- \n\n\n
- <\/span> since Feb. 2026 Sinan Altiparmak, PhD Student, Goethe University
PhD Thesis (preliminary): Gravitational Waves from Binary Neutron Star Mergers (pdf<\/a>)
<\/li>\n\n\n\n- <\/span> Jan. 2025 \u2013 Jan. 2026 Sinan Altiparmak, Master Student, Goethe University
Master Thesis: Generic finite temperature extension of the\nneutron star equation of state (pdf<\/a>)
<\/li>\n\n\n\n- <\/span> Jan. 2023 \u2013 Jan. 2024 Alina Stehr, Master Student, Goethe University
Master Thesis: Impact of Quark Matter Formation in the Prompt\nCollapse in Binary Neutron Star Mergers (pdf<\/a>)
<\/li>\n\n\n\n- <\/span>Sep. 2021 \u2013 Apr. 2022 Sinan Altiparmak, Bachelor Student, Goethe University
Bachelor Thesis: On the Speed of Sound in Neutron Stars (pdf<\/a>)
<\/li>\n\n\n\n- <\/span>Mar 2020 \u2013 Jun 2020 Jonah Post, Bachelor Student, Leiden University
Bachelor Thesis: Lax Entropy Conditions for the One-Dimensional Riemann Problem (pdf<\/a>)
<\/li>\n\n\n\n- Apr 2016 \u2013 Jul 2020 Philipp Stanzer, Graduate Student, TU-Wien
PhD Thesis: Numerical Relativity, Holography and the Quantum Null Energy Condition (pdf<\/a>)
<\/li>\n\n\n\n- Apr 2015 \u2013 Mar 2016 Philipp Stanzer, Master Student, TU-Wien
Master Thesis: Entanglement Entropy in Heavy Ion Collisions (pdf<\/a>, awarded with student price of Austrian Physical Society)
<\/li>\n\n\n\n- Apr 2015 \u2013 Jun 2016 Ognen Kapetanoski, Master Student, TU-Wien
Master Thesis: Entanglement entropy of a compact region in a 2D-dilaton gravity theory (pdf<\/a>)<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"Introduction to General Relativity This course provides an introduction to Einstein’s theory of gravity, known as General Relativity. The initial part focuses on the mathematical tools in field theory, differential geometry, and tensor calculus necessary to formulate the theory and arrive at the Einstein equations. The remainder of the course explores specific solutions to the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"page-templates\/full-width.php","meta":{"footnotes":""},"class_list":["post-15","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/pages\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.christianecker.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=15"}],"version-history":[{"count":123,"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/pages\/15\/revisions"}],"predecessor-version":[{"id":1075,"href":"https:\/\/www.christianecker.com\/index.php?rest_route=\/wp\/v2\/pages\/15\/revisions\/1075"}],"wp:attachment":[{"href":"https:\/\/www.christianecker.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- <\/span> Jan. 2025 \u2013 Jan. 2026 Sinan Altiparmak, Master Student, Goethe University
- Mathematica tutorial files: Tutorial.tar.gz<\/a>
- Exercise problems