TUW-01-31

Vers. 1.2

Virtual black hole phenomenology from $\boldsymbol{2d}$ dilaton theories

D. Grumiller

Institut für Theoretische Physik
Technische Universität Wien
Wiedner Hauptstr. 8-10, A-1040 Wien
Austria

Abstract:

Equipped with the tools of (spherically reduced) dilaton gravity in first order formulation and with the results for the lowest order $S$-matrix for $s$-wave gravitational scattering (P. Fischer, D. Grumiller, W. Kummer, and D. Vassilevich, Phys. Lett. B521 (2001) 357-363) new properties of the ensuing cross-section are discussed. We find $CPT$ invariance, despite of the non-local nature of our effective theory and discover pseudo-self-similarity in its kinematic sector.

After presenting the Carter-Penrose diagram for the corresponding virtual black hole geometry we encounter distributional contributions to its Ricci-scalar and a vanishing Einstein-Hilbert action for that configuration. Finally, a comparison is done between our (Minkowskian) virtual black hole and Hawking's (Euclidean) virtual black hole bubbles.

PACS numbers: 04.60.Kz; 04.60.Gw; 11.10.Lm; 11.80.Et