Lecture

Curved Space-Time

Related lectures (30)

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

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

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Covers the material point model, initial conditions, and Newton's laws in physics.

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

Explores fundamental cosmological puzzles related to dark matter and energy.

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Covers Newton's three laws of motion, fundamental forces, and exercises, including gravitational and electromagnetic forces.

Explores surfaces with variable curvature, discussing their construction and properties.

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Covers geodesic curves parameterized at constant speed to minimize distances between points.