Course

PHYS-427: Relativity and cosmology I

Lectures in this course (88)

Explores dark matter candidates like sterile neutrinos, axions, and WIMPs, discussing their properties and implications on the Universe.

Energy Momentum Tensor: Derivation and Conservation

Explores the derivation and conservation of the energy momentum tensor for point particles, including the impact of electromagnetic fields and the Schwarzschild metric.

Gravitational Redshift & Black Holes

Explains gravitational redshift, perihelion advance, and Schwarzschild black holes.

Kruskal Coordinates: Schwarzschild Black Holes

Explores Kruskal coordinates and Schwarzschild black holes in General Relativity, including Einstein equations and cosmological constants.

Einstein's Equations: Relativistic Mechanics

Covers Einstein's equations in non-relativistic limit and the Schwarzschild metric.

Spherically Symmetric Metrics

Explores spherically symmetric metrics in flat space and their implications in gravity and spacetime.

Penrose Diagrams: Spacetime Visualization

Explores Penrose diagrams for visualizing black hole spacetime, emphasizing the eternal nature of black holes formed by gravitational collapse.

Light Deflection and Gravitational Lensing

Covers exercises on light deflection, gravitational lensing, and the influence of gravity on light paths.

Deflection of Light: Observations and Methods

Explores the deflection of light by gravity and methods for studying matter distribution.

Astrophysical Objects: Static Systems

Explores spherically symmetric and static astrophysical objects, including black holes and the modeling of matter.

Static Isotropic Metric

Explores static isotropic metric properties and equations in physics, focusing on the behavior outside the gravitational field.

Inflation and Cosmology

Explores inflation, quantum fluctuations, scalar fields, and their impact on the universe's structure formation.

Mercury's Precession: Calculation Methods

Explores methods to calculate Mercury's precession and analyzes celestial mechanics concepts.

Gravitational Red-Shift and Escape Velocity

Covers the discovery of integrals of motion and the analysis of escape velocity and gravitational red-shift.

Mahler's Symphonies: Structure and Meaning

Explores Gustav Mahler's symphonies, focusing on his unique style and the conceptual depth of specific works.

Newtonian Gravity: Mercury's Orbit

Covers the basics of Newtonian gravity, focusing on Mercury's orbit and black hole physics.

Linearized Gravity: Perturbation Theory

Covers linearized gravity, perturbation theory, Einstein equations, and gravitational waves.

Inflationary Theory: Structure Formation

Discusses the inflationary theory as a solution to initial condition problems in the universe, covering scalar fields, density perturbations, and basic equations.

Gravitational Waves

Explores gravitational waves, black hole properties, and their implications in astrophysics.

Gravitational Waves: Effects and Trajectories

Explores the effects of gravitational waves on geodesics and photon trajectories.