Virtual black hole phenomenology from 2d dilaton theories

TL;DR

This paper explores the properties of virtual black holes within 2D dilaton gravity, analyzing their scattering cross-sections, symmetries, and geometric features, and comparing Minkowskian and Euclidean models.

Contribution

It introduces new insights into virtual black hole phenomenology using 2D dilaton theories, including symmetry properties and geometric analysis.

Findings

CPT invariance in the effective theory

Pseudo-self-similarity in the kinematic sector

Distributional Ricci-scalar contributions

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, gr-qc/0105034) 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.