Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
arXiv:1012.2426 · doi:10.1007/s10714-011-1290-7
Abstract
We apply the generalization of the Parikh-Wilczek method to the tunneling of massive particles from noncommutative inspired Schwarzschild black holes. By deriving the equation of radial motion of the tunneling particle directly, we calculate the emission rate which is shown to be dependent on the noncommutative parameter besides the energy and mass of the tunneling particle. After equating the emission rate to the Boltzmann factor, we obtain the modified Hawking temperature which relates to the noncommutativity and recovers the standard Hawking temperature in the commutative limit. We also discuss the entropy of the noncommutative inspired Schwarzschild black hole and its difference after and before a massive particle's emission.
11 pages, no figures; v2: 13 pages, clarifications and references added, version accepted for publication in Gen. Rel. Grav
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- Neutrino spin oscillations in gravitational fields in non-commutative Spaces
- Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
- Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- Gravitational radiation in dynamical noncommutative spaces
- Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
- Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
- Quantum tunneling driven by quintessence and the role of GUP
- The coordinate coherent states approach revisited
- A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
- A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
- Joule-Thomson expansion for noncommutative uncharged black holes