General Relativity Theory

A General Relativity Theory is a gravitational physics theory that describes gravity as the curvature of spacetime caused by mass and energy.

• AKA: General Relativity, GR, Einstein's Theory of Gravitation, Geometric Theory of Gravitation.
• Context:
  • It can typically describe Gravitational Phenomena through spacetime geometry.
  • It can typically predict Gravitational Effects with Einstein's field equations.
  • It can typically unify Space and Time into spacetime manifolds.
  • It can often explain Black Holes through singularity theorems.
  • It can often predict Gravitational Waves through metric perturbations.
  • It can often require Tensor Calculus for mathematical formulations.
  • It can range from being a Weak Field General Relativity to being a Strong Field General Relativity, depending on its gravitational strength.
  • It can range from being a Vacuum General Relativity to being a Matter-Coupled General Relativity, depending on its energy-momentum content.
  • It can range from being a Classical General Relativity to being a Quantum-Modified General Relativity, depending on its quantum corrections.
  • It can range from being a Cosmological General Relativity to being a Local General Relativity, depending on its spatial scale.
  • ...
• Example:
  • General Relativity Solutions, such as:
    • Schwarzschild Solution for spherical masses.
    • Kerr Solution for rotating black holes.
    • FLRW Solution for cosmological models.
  • General Relativity Applications, such as:
    • GPS Relativistic Correction for satellite navigation.
    • Gravitational Lensing Prediction for astronomical observations.
  • ...
• Counter-Example:
  • Newton's Gravitational Theory, which treats gravity as instantaneous force.
  • Special Relativity Theory, which excludes gravitational effects.
• See: Physics Theory, Einstein's Field Equations, Spacetime, Gravitational Theory, Penrose's Singularity Theorem, Cosmology, Black Hole Physics.

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