Scale Invariant Gravity in Two-dimensions

Apr, 1989
15 pages
Published in:
  • J.Math.Phys. 32 (1991) 1562-1566
Report number:
  • PRE-ZIAP-89-08

Citations per year

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Abstract: (AIP)
The vacuum field equations are solved in a V 2 following from the scale‐invariant gravitational Lagrangian £=R k+1. For £=R 2, exactly six solutions exist. Just one of them breaks the scale‐invariance and has indefinite signature. For k→0, nontrivial results also arise. Their relation to two‐dimensional quantum gravity is discussed. For £=F(R) a Birkhoff‐type theorem holds.
  • gravitation
  • dimension: 2
  • invariance: conformal
  • field equations: solution