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GR: Fachverband Gravitation und Relativitätstheorie

GR 18: Black Holes

GR 18.6: Talk

Friday, March 20, 2015, 12:50–13:10, H 2013

Generalized Uncertainty Principle and Black Holes — •Marco Knipfer^1,2, Sven Köppel^1,2, Maximiliano Isi³, Jonas Mureika⁴, Piero Nicolini^1,2, and Marcus Bleicher^1,2 — ¹Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Frankfurt am Main, Deutschland — ²Frankfurt Institute for Advanced Studies, Frankfurt am Main, Deutschland — ³Physics Department, California Institute of Technology, Pasadena, CA, United States — ⁴Department of Physics, Loyola Marymount University, Los Angeles, CA, United States

Many of the current endeavors of finding a quantum theory of gravity introduce two basic adjustments: Additional space dimensions and the existence of a minimal length of about the Planck length ℓ_p≈ 1.6 × 10⁻³⁶m. According to this line of reasoning we modify the Heisenberg uncertainty relation into the generalized uncertainty principle (GUP) Δ x Δ p ≥ ℏ/2[1+β (Δ p)²]. To evaluate the effects of the GUP in curved space, we consider a non-local gravity Lagrangian. The resulting field equations depend on a non-local operator not known a priori. We show that a particular profile of such an operator can reproduce GUP effects. Specifically we derive a GUP improved Schwarzschild metric. Even if the curvature singularity is just smoothened, the thermodynamics becomes regular, i.e., the temperature no longer diverges in the final evaporation stage and a cold black hole remnant forms.