FU:TFNPV0002 Gravitational Waves

TFNPV0002 Gravitational Waves

Institute of physics in Opava
winter 2023

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

Guaranteed by

Mgr. Martin Urbanec, Ph.D.
Institute of physics in Opava

Timetable

Mon 9:45–11:20 F1

TFNPV0002/A: Mon 11:25–13:00 F1, M. Urbanec

Prerequisites (in Czech)

(FAKULTA(FU) && TYP_STUDIA(N))

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Course objectives

Course introduces students to gravitational waves, their theoretical description and detectors.

Learning outcomes

Understanding of generation and detection of gravitational waves

Syllabus

Course is organised as follows
Linear theory, wave equation, planar wave, TT gauge
Interaction of gravitational wave with particle, interferometers
Equation of geodesic deviation, energy momentum tensor of gravitational wave
Propagation of gravitational wave in curved spacetimes
Generation of gravitational waves. Quadrupole formula. Luminosity
Gravitational wave as a perturbation of black hole spacetimes. Perturbation of Schwarzschild spacetime, axial and polar perturbation
Regge-Wheeler equation and Zerilli equation. Quasinormal modes
Binary systems. Hulse-Taylor pulsar
Oscillations of neutron stars and generation of gravitational waves
LIGO and LISA interferometers. Other detectors of gravitational waves (PTA etc.)
Detected sources of gravitational waves and their impact on our understanding of astrophysics
Gravitational waves and cosmology

Literature

recommended literature

Maggiore, M. Gravitational Waves:Theory and Experiments, Oxford University Press, 2008
Maggiore, M. Gravitational Waves: Astrophysics and Cosmology, Oxford University Press, 2018
Misner, C. W., Thorne, K.S., Wheeler, J. A. Gravitation, Freeman, San Francisco, 1973 (2017)
Bičák J., Ruděnko V. N. Teorie relativity a gravitační vlny, skriptum UK, Praha, 1986
Straumann, N. General Relativity and Relativistic Astrophysics, Springet-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984

Teaching methods

Lectures, exercises

Assessment methods

oral and written exam. Attendance at exercises (at least 75%)

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.

The course is also listed under the following terms winter 2020, winter 2021, winter 2022, winter 2024.