2011/04/30 by Jonas Mureika, Jonas R. Mureika, Piero Nicolini
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Commutative property #Computer science #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Philosophy #Physics #Pure mathematics #Thermodynamics #Zero (linguistics) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.84.044020
published as Phys.Rev.D84:044020,2011 · 24 pages, 12 figures, some comments added, conclusions not modified, version matching that published on PRD
openalex publication_date 2011/08/04 · arxiv created 2011/08/05 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a comprehensive analysis of the spacetime structure and thermodynamics of (1+1)-dimensional black holes in a noncommutative framework. It is shown that a wider variety of solutions are possible than the commutative case considered previously in the literature. As expected, the introduction of a minimal length √\ensuremathθ cures singularity pathologies that plague the standard two-dimensional general relativistic case, where the latter solution is recovered at large length scales. Depending on the choice of input parameters (black hole mass M, cosmological constant \ensuremathΛ, etc.), black hole solutions with zero, up to six, horizons are possible. The associated thermodynamics allows for the either complete evaporation, or the production of black hole remnants.