Conservation Laws and 2D Black Holes in Dilaton Gravity

Details Conservation Laws and 2D Black Holes in Dilaton Gravity Conservation Laws and 2D Black Holes in Dilaton Gravity

1992-06-10

arxiv.org/abs/hep-th/9206044v1

Phys.Rev. D47 (1993) 4438-4442

Physics

High Energy Physics

High Energy Physics - Theory

11 pgs. WATPHYS-TH92/03

Scientific paper

10.1103/PhysRevD.47.4438

A very general class of Lagrangians which couple scalar fields to gravitation and matter in two spacetime dimensions is investigated. It is shown that a vector field exists along whose flow lines the stress-energy tensor is conserved, regardless of whether or not the equations of motion are satisfied or if any Killing vectors exist. Conditions necessary for the existence of Killing vectors are derived. A new set of 2D black hole solutions is obtained for one particular member within this class of Lagrangians. One such solution bears an interesting resemblance to the 2D string-theoretic black hole, yet contains markedly different thermodynamic properties.

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