Black hole thermodynamics in Snyder phase space

Abstract

By defining a noncommutative symplectic structure, we study thermodynamics of Schwarzschild black hole in a Snyder noncommutative phase space for the first time. Since natural cutoffs are the results of compactness of symplectic manifolds in phase space, the physics of black holes in such a space would be affected mainly by these cutoffs. In this respect, this study provides a basis for more deeper understanding of the black hole thermodynamics in a pure mathematical viewpoint.

12 pages, 3 figures, selected as featured articles: best of 2017 papers

References in corpus (12)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Polymer Quantum Mechanics and its Continuum Limit
• Classical and quantum mechanics of the nonrelativistic Snyder model
• A Quantum Mechanical Model of the Reissner-Nordstrom Black Hole
• UV-IR Mixing in Non-Commutative Plane
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Snyder dynamics in a Schwarzschild spacetime
• Spacetime singularity resolution in Snyder noncommutative space
• Classical dynamics on curved Snyder space
• Natural Cutoffs via Compact Symplectic Manifolds
• Polymer quantization versus the Snyder noncommutative space

Cited by in corpus (3)

• Geodesic Structure of the Quantum-Corrected Schwarzschild Black Hole Surrounded by Quintessence
• Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
• The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum