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Black Holes and Gravitational Waves

Vak
2025-2026

Admission requirements

Theory of General Relativity.

Description

This course provides an introduction to two important themes in the physics of gravity:
1. the dynamical aspects of the space-time geometry as represented by gravitational waves;
2. the properties of the gravitationally collapsed objects (black holes).
Both topics are part of intensive present research activities in physics and astronomy.

Specific subtopics discussed are:
Topic 1:

  • Linearized Einstein equations

  • Quadrupole radiation

  • Radiation loss of binary stars

  • Detection of gravitational waves

Topic 2:

  • Schwarzschild and Kerr geometry

  • Geodesics and conservation laws

  • Gravitational collapse

Course objectives

Upon completion of this course you will be able to:

  • have a basic understanding of the physical characteristics of gravitational waves and black holes, and their theoretical description in the framework of General Relativity;

  • derive basic results from first principles and perform computations of the most important effects open to experimental and observational verification.

Timetable

Physics Schedule
For detailed information go to Timetable in Brightspace

Mode of instruction

See Brightspace

Assessment method

A single two-part examination, on the topics of gravitational waves and black holes separately, with equal weight.

The final grade will be determined as follows:

  • Final exam (100%)

Reading list

S. Carroll: Spacetime and geometry. An introduction to General Relativity, Addison Wesley (2004)

M. Maggiore: Gravitational Waves: Volume 1: Theory and Experiments, Oxford University Press (2018)

Additional lecture notes and supplememtary reading will be provided

Registration

As a student, you are responsible for enrolling on time through MyStudyMap.

In this short video, you can see step-by-step how to enrol for courses in MyStudyMap.
Extensive information about the operation of MyStudyMap can be found here.

There are two enrolment periods per year:

  • Enrolment for the fall opens in July

  • Enrolment for the spring opens in December

See this page for more information about deadlines and enrolling for courses and exams.

Contact

Lecturer: Dr. S.P. Patil

Remarks

Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.