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  Counting a black hole in Lorentzian product triangulations

Dittrich, B., & Loll, R. (2006). Counting a black hole in Lorentzian product triangulations. Classical and Quantum Gravity, 23(11), 3849-3878.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4B2E-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4B2F-D
Genre: Journal Article

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cqg6_11_012.pdf (Publisher version), 318KB
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 Creators:
Dittrich, Bianca1, Author              
Loll, Renate, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We take a step toward a nonperturbative gravitational path integral for black-hole geometries by deriving an expression for the expansion rate of null geodesic congruences in the approach of causal dynamical triangulations. We propose to use the integrated expansion rate in building a quantum horizon finder in the sum over spacetime geometries. It takes the form of a counting formula for various types of discrete building blocks which differ in how they focus and defocus light rays. In the course of the derivation, we introduce the concept of a Lorentzian dynamical triangulation of product type, whose applicability goes beyond that of describing black-hole configurations.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 233386
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 (11) Sequence Number: - Start / End Page: 3849 - 3878 Identifier: -