nLab gravity contents

gravity, supergravity

Formalism

• Poincaré Lie algebra

  • super Poincaré Lie algebra, supergravity Lie 3-algebra, supergravity Lie 6-algebra

• differential geometry

• (super-)Cartan geometry

  • pseudo-Riemannian manifold

  • spacetime

Definition

• Einstein-Hilbert action, Einstein's equations, general relativity

  • first-order formulation of gravity, D'Auria-Fre formulation of supergravity

  • gravity as a BF-theory, Plebanski formulation of gravity, teleparallel gravity

Spacetime configurations

• spacetime

• Minkowski spacetime

• black hole spacetime

  • Schwarzschild spacetime

  • Kerr spacetime

Properties

• Kaluza-Klein mechanism

• Bekenstein-Hawking entropy

• generalized second law of thermodynamics

• cosmic censorship hypothesis

• weak gravity conjecture

Spacetimes

• standard model of cosmology

• Minkowski spacetime

black hole spacetimes	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild spacetime	Kerr spacetime
positive charge	Reissner-Nordstrom spacetime	Kerr-Newman spacetime

black hole spacetimes with dark energy	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild-de Sitter spacetime	Kerr-de Sitter spacetime
positive charge	Reissner-Nordström-de Sitter spacetime	Kerr-Newman-de Sitter spacetime

wormhole spacetimes	vanishing angular momentum
vanishing charge	Schwarzschild wormhole
positive charge	Reissner-Nordström wormhole

• asymptotically flat spacetime

• gravitational wave

• anti de Sitter spacetime

• FRW spacetime

• Taub-NUT spacetime

• Einstein manifold

• pp-wave spacetime

• KK-monopole

• Malament–Hogarth spacetime

• super spacetime

  • super Minkowski spacetime

• black brane

Quantum theory

• quantum gravity

  • graviton, gravitino

  • string theory