General relativity

From Physics wiki

Contents 1 Introduction 2 Dynamics 3 Exact solutions 4 Perturbative methods 5 Structure 6 Gravitational Collapse and Black holes 7 Formalisms 8 Vielbein formalism 9 Related subjects 10 Resources 11 Appendix

Introduction

• Prerequisites
• General covariance

Dynamics

• Einstein's equations
• Einstein-Hilbert action

Exact solutions

• Schwarzschild solution
  • Eddington-Finkelstein coordinates
  • Painlevé-Gullstrand coordinates
• Birkhoff's theorem

• Anti de Sitter solution
• de Sitter solution
• Friedmann-Lemaître-Robertson-Walker solution
• Kerr solution
• Kerr-Newman solution
• Lemaître-Tolman-Bondi solution
• Oppenheimer-Snyder solution
• Reissner-Nordström solution

Perturbative methods

• Linearized Einstein's equations
• Weak field approximation

Structure

• Conformal compactification
• Carter-Penrose diagram
• Causality
• Raychaudhuri equation

Gravitational Collapse and Black holes

• Event horizon
• Singularity
• Singularity theorem
• Black hole
• Eternal black hole
• Rigidity theorem

See also: Black hole thermodynamics (Gravitational physics)

Formalisms

• ADM formalism
• Null tetrad formalism
• Cartan formalism
• Palatini formulation
• Ashtekar formulation

Vielbein formalism

• Vielbein
• Spin connection (Mathematics)

Related subjects

• Gravitational physics (subject)

Resources

• Books
• Papers
• Websites

Appendix

• Notation and conventions