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2026-2027 / SPAT0084-1

Theory of gravitational waves

Duration

20h Th, 10h Pr

Number of credits

 Master in space sciences, research focus4 crédits 
 Master in space sciences, professional focus 4 crédits 

Lecturer

Maxime Fays

Language(s) of instruction

English language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course introduces the physical principles of gravitational-wave emission and detection. It examines the main astrophysical sources, the interpretation of observations, and the capabilities and limitations of current and next-generation detectors.

The course covers:

  • The history of gravitational-wave detections.

  • The generation of gravitational waves.

  • Detection principles and current-generation detectors.

  • Compact binary systems.

  • Gravitational-wave bursts.

  • Continuous gravitational waves.

  • Stochastic gravitational-wave backgrounds.

  • Next-generation detectors, including the Einstein Telescope.

Additional topics may be explored through student suggestions and guest lectures. The choice of examples and depth of coverage may be adapted according to course progression and developments in the field.

Learning outcomes of the learning unit

By the end of the course, students should be able to:

  • Explain the physical principles underlying gravitational-wave emission from different astrophysical sources.

  • Distinguish the main classes of gravitational-wave signals and relate their properties to their sources.

  • Explain gravitational-wave detection principles and discuss the challenges faced by current and next-generation detectors.

  • Apply the concepts and relationships introduced in the course to theoretical questions and practical exercises.

  • Analyse and discuss scientific papers, identifying their assumptions, supporting evidence and limitations.

  • Present a scientific argument clearly, both orally and in written reports.

  • Critically assess explanations, mathematical reasoning and physical analogies, including LLM-generated material where used.

Prerequisite knowledge and skills

Students should have a basic understanding of general relativity.

Planned learning activities and teaching methods

The course combines theoretical lectures, practical exercises and interactive discussions of scientific papers. Each student will select a paper, analyse it and present their findings to the group. Two guest lectures on specialised topics are planned, with a written report required for each guest lecture. A dedicated session will address the Einstein Telescope and developments in next-generation detectors.

During this academic year, the instructor will pilot the use of large language models (LLMs), with the aim of providing each student with personalised lecture slides and supporting notebooks based on the instructor's course materials. Personalisation will draw on an initial questionnaire and feedback during the course. The approach will be reviewed throughout the year and may be adapted or discontinued in response to student feedback, its educational effectiveness and the availability of technical resources.

Learning activities may also include guided critical review of scientific explanations, mathematical derivations and physical analogies, including LLM-generated material. Students may use LLMs to support these review activities, following guidance and prompts provided by the instructor. Discussions will focus on assessing accuracy, examining assumptions and limitations, and supporting proposed corrections with calculations, scientific reasoning or appropriate references.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course


Additional information:

Face-to-face if possible, depending on the COVID situation.

Course materials and recommended or required readings

Platform(s) used for course materials:
- MyULiège


Further information:

Course materials will be made available through MyULiège and will include lecture slides, supporting notes, practical exercises and scientific papers for analysis and discussion. Any required readings will be identified explicitly.

Personalised versions of the lecture slides and supporting notebooks may also be provided as part of the LLM teaching pilot. LLM-adapted materials will be identified as such and may be revised during the course following review and student feedback.

Exam(s) in session

Any session

- In-person

oral exam


Further information:

Assessment comprises:

  • A formal examination with oral components, covering theoretical questions and a practical exercise.

  • Written reports on the guest lectures.

  • Active participation in discussions of scientific papers.

Assessment considers scientific accuracy, the quality and clarity of reasoning, the appropriate use of concepts introduced in the course, and the ability to critically interpret scientific arguments and evidence.

Work placement(s)

Organisational remarks and main changes to the course

The course comprises 20 hours of theoretical teaching and 10 hours of practical work, incorporating exercises, student presentations and discussions of scientific papers.

The main teaching development this academic year is the pilot of personalised learning materials described above. Students will be invited to provide feedback on their clarity, usefulness and accuracy throughout the course. This feedback will inform revisions to the materials and decisions about the scope and continuation of the pilot. Any adjustments will be communicated to students during the course.

Contacts

Maxime Fays

(maxime.fays@uliege.be)

Room 4.43 Bât. B5A

Inter. fondamentales en physique et astrophysique (IFPA)

Quartier Agora allée du six Août 19

4000 Liège

Téléphone de service: +32 4 3663643

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