Effective Lagrangian and static black holes in 2D dilatonic gravity inspired by quantum effects

Details Effective Lagrangian and static black holes in 2D dilatonic gravity inspired by quantum effects Effective Lagrangian and static black holes in 2D dilatonic gravity inspired by quantum effects

1997-01-09

arxiv.org/abs/hep-th/9701032v3

Mod.Phys.Lett.A12:925-936,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 13 pages, published in Mod.Phys.Lett. A12 (1997) 925 (revised version)

Scientific paper

10.1142/S0217732397000959

We study the effective action in 2D dilaton-Maxwell quantum gravity. Working with the one-loop renormalizable subset of such theories, we construct the improved effective Lagrangian which contains curvature under logarithm. This effective Lagrangian leads to new classical dilatonic gravity inspired by quantum effects. The static black holes (BH) solutions which may play the role of a remnant after the Hawking radiation for such theory are carefully investigated. The effective Lagrangian for Gross-Neveu-dilaton gravity is also constructed (in 1/N expansion).

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