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Course

PHYS-428: Relativity and cosmology II

Lectures in this course (59)

Gravity Equations

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

Planck Units and Lorentz Transformations

Explores Planck units, Klein-Gordon equation, Lorentz transformations, and Maxwell equations' invariance.

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.

Spherically Symmetric Metrics

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

Light Deflection and Gravitational Lensing

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

Static Isotropic Metric

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

Mercury's Precession: Calculation Methods

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

Newtonian Gravity: Mercury's Orbit

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

Black Holes: Signal Escape Probability

Explores signal escape probability near black holes, eternal circular orbits, equations of motion, and gravity in different space-time dimensions.

Quantum Theory and Hawking Radiation

Covers the development of quantum theory and Hawking radiation in the context of General Relativity.

Electromagnetic Waves

Covers the theory of electromagnetic waves and provides a detailed understanding of wave propagation.

Black Holes: Redshift and Gravitational Waves

Delves into black holes, redshift, and gravitational waves, exploring their properties and behaviors in different spacetime dimensions.

Problems on Timelike and Spacelike Vectors

Covers exercises on timelike and spacelike vectors from Problem Set 2.

Maxwell Lorentz Formulation

Covers the reminder of tensors, vectors, and Lorentz transformations, and the formulation of theory.

Cosmology: Perfect Fluid and Gravity

Explores the importance of the perfect fluid in cosmology and its coupling to gravity, leading to a discussion on the Einstein universe and static gravity.

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Coordinate Transformations in General Relativity

Covers exercises on coordinate transformations in general relativity, emphasizing conceptual understanding and straightforward calculations for the exam.

Tensor Properties

Covers the properties of tensors and their applications in various fields.

Covariance: Understanding the Concepts

Explores the concept of covariance, its meanings, and practical applications in tensor transformation laws.