Infopaket

Basics of cosmology

OK7

Обов’язкова дисципліна для ОП

Second

2023/2024

1 Semester

3

understanding the connection between general relativity and physical cosmology. Understanding the postulates of the GR, mastery of tensor calculus, knowledge of Einstein's equations and their basic properties. Understanding the main experimental consequences of the GR, important for cosmological applications: gravitational lensing, propagation of gravitational waves. Understanding the model of homogeneous isotropic space and its potential shortcomings

Full-time form

Successful completion of courses in mechanics, classical mechanics, and electrodynamics

a complex of physical knowledge about gravitational interaction based on the metric approach. Objects of Riemannian geometry and basic operations with them are considered, the concept of a metric tensor is introduced. The need for covariant differentiation is justified, the corresponding formulas are obtained. Einstein's equations are derived, the connection between them and the Newtonian approximation is investigated, the role of the cosmological constant is discussed. The consequences of the constructed theory are analyzed: gravitational redshift, Schwarzschild's solution for the spherically symmetric problem, the effects of pericenter displacement and deflection of light in a gravitational field.

Carroll S. Spacetime and geometry. An introduction to general relativity. – Addison Wesley, 2004. –513 p. B. P. Abbott et al. Observation of Gravitational Waves from a Binary Black Hole Merger // Physical Review Letters. – 2016. – Vol. 116. – 061102

Lectures

Semester assessment: 1. Tests: 2, each – 15 points 2. Lecture work – 10 points 3. Short independent tasks – 10 points - final assessment (in the form of an exam/complex exam, differentiated assessment): Exam – 50 points - conditions for admission to the final exam: at least 10 points during the semester

Ukrainian