Concept

Einstein tensor

Related lectures (13)

Introduces scalar gravity, covering covariant derivatives, Ricci tensor, Einstein Equivalence Principle, and the generalization of Newtonian gravity equations.

General Covariance in Gravitational Field

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

Riemann Tensor and Ricci Scalar

Covers the properties of the Riemann tensor and Ricci scalar in normal coordinates.

Basics of Modern Cosmology - 2

Explores luminosity distance, the Einstein field equation, Stephen Hawking's contributions, and the cosmological principle, among other cosmological concepts.

Collisionless Systems Stability

Explores collisionless systems stability, covering the Virial Equation, Equilibria, Moments of the Collisionless Boltzmann Equation, and the origin of instability.

Lie Algebra: Basics and Applications

Covers the basics of Lie algebra and its applications in linear equations and Einstein tensor calculations.

Testing General Relativity with Cosmology

Explores Testing General Relativity with Cosmology, covering topics like the curvature tensor, teleparallelism, and black holes in f(Q).

General Covariance in Gravity

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

Symmetries and Conservation Laws

Explores Killing vectors, conserved quantities, symmetric spaces, and the Riemann curvature tensor properties.

Gravitational Waves: Detection and Quadrupole Formula

Explores the production and detection of gravitational waves, the quadrupole formula, and the first observation of gravitational waves on 14/09/2015.

Electromagnetic Fields

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

Plates II: Föppl-von Kármán Equations

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Einstein Equations

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