Planckian Energy Scattering, Colliding Plane Gravitational Waves and Black Hole Creation

Abstract

In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at planckian energies. In this paper we discuss a possible scenario for such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between the Kerr black hole solution and colliding plane gravitational waves. We clarify issues arising in the definition of transition amplitude from a quantum state containing only usual matter without black holes to a state containing black holes. Collision of two plane gravitational waves producing a space-time region which is locally isometric to an interior of black hole solution is considered. The phase of the transition amplitude from plane waves to white and black hole is calculated by using the Fabbrichesi, Pettorino, Veneziano and Vilkovisky approach. An alternative extension beyond the horizon in which the space-time again splits into two separating gravitational waves is also discussed. Such a process is interpreted as the scattering of plane gravitational waves through creation of virtual black and white holes.

26 pages, LATEX, 5 figures

References in corpus (5)

• A WZW model based on a non-semi-simple group
• Eikonal Quantum Gravity and Planckian Scattering
• Scattering at Planckian Energies
• Wavefunction of a Black Hole and the Dynamical Origin of Entropy
• Planckian Energy Scattering and Surface Terms in the Gravitational Action

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• Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time
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• Initial Conditions and the Structure of the Singularity in Pre-Big-Bang Cosmology
• Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions
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• Catalysis of Black Holes/Wormholes Formation in High Energy Collisions
• Quantum fields interacting with colliding plane waves: the stress-energy tensor and backreaction
• Production of Black Holes in TeV-Scale Gravity
• Colliding Hadrons as Cosmic Membranes and Possible Signatures of Lost Momentum
• Microscopic Black Hole Production in TeV-Scale Gravity
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• Modification of black-hole entropy by strings
• Stress-energy tensor in colliding plane wave space-times: An approximation procedure
• Planckian Scattering From Kerr Black Holes: Eikonal and Beyond