Notes for Spring-School-2024
- Github Repository https://github.com/christiang7/Spring-School-2024
- Files for Spring School wolke7@AEI https://wolke7.aei.mpg.de/s/GYW5XYJJHPTZZbz
The first week’s lectures will be devoted to the study of Einstein’s theory of General Relativity and the theoretical foundations for black holes. The lectures will be also devoted to Cosmology.
| Time | Mon 26/2 | Tue 27/2 | Wed 28/2 | Thu 29/2 | Fri 1/3 |
|---|---|---|---|---|---|
| 9:15 – 10:45 | General Relativity Sebastian Völkel | General Relativity Sebastian Völkel | General Relativity Sebastian Völkel | Black Holes Karim van Aelst | Cosmology Jean-Luc Lehners |
| 11:00 – 12:30 | General Relativity Sebastian Völkel | General Relativity Sebastian Völkel | General Relativity Sebastian Völkel | Black Holes Karim von Aelst | Cosmology Jean-Luc Lehners |
| Lunch | |||||
| 14:00 – 15:30 | Exercises | Colloquium - Gravitational Wave Alberto Sesana | Excursion | Exercises | Exercises |
| 15:45 – 17:15 | Exercises | Excursion | Exercises | Exercises | |
| evening | Reception |
This week will give an overview of gravitational-wave astronomy. Topics include the theory of gravitational waves and a discussion of the major astrophysical sources of gravitational waves, most notably inspiraling compact object binaries (i.e. black holes or neutron stars). We will also offer a lecture on quantum field theory and quantum gravity.
| Time | Mon 4/3 | Tue 5/3 | Wed 6/3 | Thu 7/3 | Fri 8/3 |
|---|---|---|---|---|---|
| 9:15 – 10:45 | Gravitational waves Elisa Maggio | Gravitational waves Elisa Maggio | Gravitational waves Elisa Maggio | Gravitational waves data analysis Héctor Estellés | Classical Gravity from Quantum Field Theory Gustav Mogull |
| 11:00 – 12:30 | Gravitational waves Elisa Maggio | Gravitational waves Elisa Maggio | Gravitational waves Elisa Maggio | Gravitational waves data analysis Héctor Estellés | Quantum Gravity Hermann Nicolai |
| Lunch | |||||
| 14:00 – 15:30 | Exercises | Supernova and neutron star formation Takami Kuroda | Excursion | Exercises | |
| 15:45 – 17:15 | Exercises | Excursion | Exercises | ||
| evening |
The excursions will go to the Einstein Tower in Potsdam and the Einstein summer house in Caputh.
- Bernard F. Schutz, A first course in General Relativity
- James Hartle, Gravity: An Introduction to Einstein’s General Relativity
- Ray D’Inverno, James Vickers, Introducing Einstein’s Relativity: A Deeper Understanding
- Kip S. Thorne, Roger D. Blandford, Modern Classical Physics, Volume 5 (Relativity and Cosmology)/ Part VII
- Michael Hobson, George Efstathiou, Anthony Lasenby, General Relativity (An introduction for physicists)
- Geometry and physics of black holes https://relativite.obspm.fr/blackholes/
- Kretschmann-Skalar – Wikipedia https://de.wikipedia.org/wiki/Kretschmann-Skalar
- Krümmung – Wikipedia https://de.wikipedia.org/wiki/Kr%C3%BCmmung#Berechnung_der_Kr%C3%BCmmung_f%C3%BCr_parametrisierte_Kurven
- Kerr-Metrik – Wikipedia https://de.wikipedia.org/wiki/Kerr-Metrik
- Ring singularity - Wikipedia https://en.wikipedia.org/wiki/Ring_singularity
- Gravitational singularity - Wikipedia https://en.wikipedia.org/wiki/Gravitational_singularity
- Penrose process - Wikipedia https://en.wikipedia.org/wiki/Penrose_process
- Weinberg, S., Cosmology
- 1709.01091 Dark energy two decades after: Observables, probes, consistency tests https://arxiv.org/abs/1709.01091
- Atomic packing factor - Wikipedia https://en.wikipedia.org/wiki/Atomic_packing_factor
- Close-packing of equal spheres - Wikipedia https://en.wikipedia.org/wiki/Close-packing_of_equal_spheres
- Christoffel Symbols: A Complete Guide With Examples – Profound Physics https://profoundphysics.com/christoffel-symbols-a-complete-guide-with-examples/
- Clifford Will – Wikipedia https://de.wikipedia.org/wiki/Clifford_Will
- Buchdahl's theorem - Wikipedia https://en.wikipedia.org/wiki/Buchdahl%27s_theorem
- Rev. Mod. Phys. 87, 637 (2015) - Optical atomic clocks https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.87.637#fulltext Cosmic microwave background - Wikipedia https://en.wikipedia.org/wiki/Cosmic_microwave_background Gravitational wave background - Wikipedia https://en.wikipedia.org/wiki/Gravitational_wave_background Cosmic neutrino background - Wikipedia https://en.wikipedia.org/wiki/Cosmic_neutrino_background
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Eanna Flanagan, Scott A. Hughes, S., The Basics of Gravitational Wave Theory http://adsabs.harvard.edu/abs/2005NJPh%E2%80%A6.7..204F
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B. P. Abbott et al. (The LIGO Scientific Collaboration, the Virgo Collaboration), The basic physics of the binary black hole merger GW150914 https://arxiv.org/abs/1608.01940
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B. P. Abbott et al. (The LIGO Scientific Collaboration, the Virgo Collaboration), Observation of Gravitational Waves from a Binary Black Hole Merger, https://arxiv.org/abs/1602.03837 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102
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Geodesic deviation - Wikipedia https://en.wikipedia.org/wiki/Geodesic_deviation
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Geodesic deviation https://web.archive.org/web/20111116174208/http://www.mth.uct.ac.za/omei/gr/chap6/node11.html
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GraceDB | The Gravitational-Wave Candidate Event Database https://gracedb.ligo.org/
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GraceDB | LVK Public Alerts https://gracedb.ligo.org/superevents/public/O4/ Kugelflächenfunktionen – Wikipedia https://de.wikipedia.org/wiki/Kugelfl%C3%A4chenfunktionen Visualization of Spherical Harmonics http://icgem.gfz-potsdam.de/vis3d/tutorial
Long-term simulations of multi-dimensional core-collapse supernovae: Implications for neutron star kicks | Publications of the Astronomical Society of Japan | Oxford Academic https://academic.oup.com/pasj/article/71/5/98/5549889?login=false Tomoya Takiwaki (0000-0003-0304-9283) - ORCID https://orcid.org/0000-0003-0304-9283 Fresh X-Rays Reveal a Universe as Clumpy as Cosmology Predicts | Quanta Magazine https://www.quantamagazine.org/fresh-x-rays-reveal-a-universe-as-clumpy-as-cosmology-predicts-20240304/ Elliptic Curve ‘Murmurations’ Found With AI Take Flight | Quanta Magazine https://www.quantamagazine.org/elliptic-curve-murmurations-found-with-ai-take-flight-20240305/ Supernova Ejecta Interacting with a Circumstellar Disk. I. Two-dimensional Radiation-hydrodynamic Simulations - IOPscience https://iopscience.iop.org/article/10.3847/1538-4357/ab5a83 (PDF) A Theory for Neutron Star and Black Hole Kicks and Induced Spins https://www.researchgate.net/publication/378625846_A_Theory_for_Neutron_Star_and_Black_Hole_Kicks_and_Induced_Spins An Instability in Neutron Stars at Birth | Science https://www.science.org/doi/10.1126/science.258.5081.430
Likelihood-ratio test - Wikipedia https://en.wikipedia.org/wiki/Likelihood-ratio_test Gravitational Waves Data Analysis | A Quest After Perspectives https://iphysresearch.github.io/blog/project/gwda/ yi-fan-wang (yi-fan-wang) / Repositories · GitHub https://github.com/yi-fan-wang?tab=repositories GitHub - yi-fan-wang/PhDThesisandOtherNotes: This repository collects my thesis and notes on my research. https://github.com/yi-fan-wang/PhDThesisandOtherNotes/tree/master GitHub - gwastro/pycbc: Core package to analyze gravitational-wave data, find signals, and study their parameters. This package was used in the first direct detection of gravitational waves (GW150914), and is used in the ongoing analysis of LIGO/Virgo data. https://github.com/gwastro/pycbc Learning Path https://gwosc.org/path/ GW Open Science Center https://gwosc.org/
Jürgen Ehlers Spring School – Potsdam, Feb 26 – March 8, 2024
https://springschool.aei.mpg.de/
A relativistic jet launched from a black hole-neutron star merger remnant © K. Hayashi, K. Kiuchi (Max Planck Institute for Gravitational Physics & Kyoto University)
organized by the Max Planck Institute for Gravitational Physics (Albert Einstein Institute).
The Max Planck Institute for Gravitational Physics (Albert Einstein Institute) offers a crash course on Gravitational Physics, General Relativity, Black Holes and Gravitational-Wave Astrophysics. This course can be attended by students studying from the 5th semester Physics or Mathematics.
The spring school will first introduce general relativity; we will then discuss black holes, gravitational waves, cosmology, quantum field theory, and quantum gravity. We will cover in particular the recent discoveries of merging black hole and neutron star. We also give insights into current research at the institute, both related to gravitational waves and beyond.
Lectures will take place daily during the morning. In the afternoons, we provide exercises and the opportunity for questions and discussions. We also plan two excursions to sights in the vicinity of Potsdam.
The Jürgen Ehlers Spring School takes place at the Max Planck campus in Potsdam. Potsdam is the capital of the state of Brandenburg and hosts multiple UNESCO World-Heritage Sites. It lies in close proximity to Berlin.
Information on how to get to the Max Planck campus in Potsdam can be found here.
Max Planck Institute for Gravitational Physics Am Mühlenberg 1 14476 Potsdam
E-Mail: springschool@aei.mpg.de
A working knowledge of introductory university physics (classical mechanics, electromagnetism), and mathematics (advanced calculus, linear algebra) will be assumed. Some prior exposure to differential geometry is desirable but not required.
- Kenta Kiuchi
- Axel Kleinschmidt
- Jan Steinhoff