Virtual black hole phenomenology from 2d dilaton theories

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.

17 pages, 13 figures

References in corpus (2)

• Massless neutrino oscillations
• S-matrix for s-wave gravitational scattering

Cited by in corpus (10)

• Dilaton Gravity in Two Dimensions
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Positive specific heat of the quantum corrected dilaton black hole
• Virtual Black Holes in Generalized Dilaton Theories (and Their Special Role in String Gravity)
• Long time black hole evaporation with bounded Hawking flux
• Virtual Black Holes and the S-matrix
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor
• Wave Function of the Universe from a Matrix Valued First-Order Formalism
• Virtual Black Holes in a Third Quantized Formalism
• A note on dilaton gravity with non-smooth potentials