Voros product, noncommutative Schwarzschild black hole and corrected area law

2009/11/30 by Rabin Banerjee, Sunandan Gangopadhyay, Sujoy K. Modak +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Formalism (music) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Quantum #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Semiclassical physics #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.02.034

published as Phys.Lett.B686:181-187,2010 · V2, minor modifications, references enlarged, LaTeX, 20 pages, no figures, to appear in Phys. Lett. B

arxiv created 2010/02/11 · openalex publication_date 2010/02/13 · arxiv updated 2010/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show the importance of the Voros product in defining a noncommutative Schwarzschild black hole. The corrected entropy/area-law is then computed in the tunneling formalism. Two types of corrections are considered; one, due to the effects of noncommutativity and the other, due to the effects of going beyond the semiclassical approximation. The leading correction to the semiclassical entropy/area-law is logarithmic and its coefficient involves the noncommutative parameter.

Citations

• Non-commutative geometry inspired charged black holes
• Twisted Gauge Theories
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Cited by

• Investigation of a harmonic oscillator in a magnetic field with damping and time dependent noncommutativity
• Path-integral action of a particle in the noncommutative phase-space
• Aspects of noncommutative (1+1)-dimensional black holes
• Large extra dimensions and small black holes at the LHC