Course

PHYS-428: Relativity and cosmology II

Lectures in this course (59)

Rotating Frame, Geodesics and Maxwell Equations

Covers exercises on rotating frame, geodesics, and Maxwell equations to deepen understanding of tensor quantities.

Explores the foundations of the Big Bang Theory, including thermal equilibrium, radiation-dominated stage, and the prediction of the Cosmic Microwave Background (CMB).

Gravitational Field Equations

Covers the formulation of gravitational field equations and the motion of particles in gravitational fields.

Gravity and Motion

Explores force of motion, dimensions, gravity, tensor fields, and equivalence principle.

Neutrino Decoupling in Early Universe

Explores neutrino decoupling in the early universe and its implications on cosmic evolution.

Gravitational Theory: Light Bending & Geodesic Motion

Explores gravitational theory, light bending, geodesic motion, and electromagnetism in gravitational fields through practical problem-solving.

Flat Space-Time: Conditions and Theorems

Covers the necessary conditions and theorems to have flat space-time and discusses the symmetry properties of the Riemann tensor.

Curved Space-Time

Discusses curved space-time, arguments against scalar gravity, and relativistic effects of motion.

Gravitational Effects: Action Evaluation and Wavelength Shifts

Covers exercises on action evaluation, wavelength shifts, GPS accuracy, and the equivalence principle in gravitational fields.

Cosmological Constraints on Neutrino Masses

Explores Boltzmann H-theorem, entropy conservation, neutrino freezing, nucleosynthesis, and cosmological constraints.

General Covariance in Gravity

Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

General Covariance in Gravitational Field

Explores general covariance, Riemann tensor, Bianchi identities, and Einstein tensor in gravitational field.

Nucleosynthesis and Neutrino Decoupling

Explores entropy evolution, temperature changes, element creation, and neutrino decoupling in the early Universe.

Geodesics and Parallel Transport

Explores geodesics, parallel transport, and the Riemann tensor on two-dimensional manifolds, emphasizing fundamental concepts in differential geometry.

Electromagnetic Fields

Covers the dynamics of electromagnetic fields and flat space-time properties.

Einstein Equations

Explores the Bianchi identity, Einstein tensor, and action principle for fields.

Equations and Forces in Mechanics

Analyzes equations and forces in mechanics, emphasizing the importance of understanding underlying principles.

Baryon Asymmetry and Particle Physics

Explores nucleosynthesis, baryon asymmetry, CP violation, and the stability of the proton in particle physics.

Einstein Equations

Covers the derivation of Einstein equations and the Schwarzschild metric.

Gravity Equations

Covers the equations of gravity without matter, focusing on the curvature of space-time and the Noether theorem.