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Jackiw–Teitelboim gravity

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Title: Jackiw–Teitelboim gravity  
Author: World Heritage Encyclopedia
Language: English
Subject: Liouville gravity, CGHS model, Quantum gravity, RST model, Physics applications of asymptotically safe gravity
Collection: Theory of Relativity
Publisher: World Heritage Encyclopedia

Jackiw–Teitelboim gravity

The R=T model,[1] also known as JackiwTeitelboim gravity is a theory of gravity with dilaton coupling in one spatial and one time dimension. It should not be confused[2][3] with the CGHS model or Liouville gravity. The action is given by

S = \frac{1}{\kappa}\int d^2x\, \sqrt{-g}\left[ -R\Phi - \frac{1}{2} g^{\mu \nu} \nabla_{\mu} \Phi \nabla_{\nu} \Phi - \Lambda + \kappa\mathcal{L}_{\text{mat}} \right]

where Φ is the dilaton, \nabla _{\mu} denotes the covariant derivative and the equation of motion is

R-\Lambda=\kappa T

The metric in this case is more amenable to analytical solutions than the general 3+1D case. For example, in 1+1D, the metric for the case of two mutually interacting bodies can be solved exactly in terms of the Lambert W function, even with an additional electromagnetic field (see quantum gravity and references for details).

See also


  1. ^
  2. ^
  3. ^

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