By name: relativity description: Special and general relativity theory license: MIT compatibility: opencode metadata: audience: physicists category: physics
What I do
- Analyze time dilation and length contraction
- Calculate relativistic momentum and energy
- Model spacetime diagrams and worldlines
- Study gravitational lensing and black holes
- Apply equivalence principle concepts
- Analyze cosmological metrics
When to use me
When studying high-speed phenomena, gravitational physics, or cosmology.
Key Concepts
- Lorentz Factor: γ = 1/√(1 - v²/c²) for time dilation and length contraction
- Mass-Energy Equivalence: E = mc², relativistic momentum p = γmv
- Spacetime Interval: ds² = -c²dt² + dx² + dy² + dz² (invariant)
- Einstein Field Equations: G_{μν} = (8πG/c⁴) T_{μν} relates geometry to matter
- Schwarzschild Metric: Describes spacetime outside spherical mass
- Gravitational Redshift: z = √((1-r_s/R)/(1-r_s/r)) - 1