Hawking radiation in the kappa-spacetime

Abstract

In this paper, we analyze the Hawking radiation of a kappa-deformed Schwarzchild black hole and obtain the deformed Hawking temperature. For this, we first derive deformed metric for the kappa-spacetime, which in the generic case, is not a symmetric tensor and also has a momentum dependence. We show that the Schwarzchild metric obtained in the kappa-deformed spacetime has a dependence on energy. We use the fact that the deformed metric is conformally flat in the 1+1 dimensions, to solve the kappa-deformed Klein-Gordon equation in the background of the Schwarzchild metric. The method of Boguliobov coefficients is then used to calculate the thermal spectrum of kappa-deformed-Schwarzchild black hole and show that the Hawking temperature is modified by the non-commutativity of the kappa-spacetime.

23 pages, 1 figure, reference added

References in corpus (39)

• The Hierarchy Problem and New Dimensions at a Millimeter
• String Theory and Noncommutative Geometry
• Hawking Radiation as Tunneling
• The quantum structure of spacetime at the Planck scale and quantum fields
• Building up spacetime with quantum entanglement
• Noncommutative geometry inspired Schwarzschild black hole
• The Thermodynamics of Black Holes
• The Spin Foam Approach to Quantum Gravity
• Gravity's Rainbow
• Renormalization group improved black hole spacetimes
• Reconstructing the Universe
• Noncommutative geometry inspired charged black holes
• 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
• Noncommutative Black Hole Thermodynamics
• Non-commutative space-time of Doubly Special Relativity theories
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Twisted Statistics in kappa-Minkowski Spacetime
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Doubly Special Relativity versus $\kappa$-deformation of relativistic kinematics
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Exercices de style: a homotopy theory for set theory, I
• Hawking radiation, Unruh radiation and the equivalence principle
• Electrodynamics on $\kappa$-Minkowski space-time
• Spacetime in String Theory
• Geodesic equation in $k$-Minkowski spacetime
• Newton's Equation on the kappa space-time and the Kepler problem
• Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
• Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole
• Effects of Noncommutativity on the Black Hole Entropy
• Uniformly accelerating observer in $\kappa$-deformed space-time
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• MICZ Kepler Systems in Noncommutative Space and Duality of Force Laws
• Black hole evaporation within a momentum-dependent metric
• Regular Black Holes and Noncommutative Geometry Inspired Fuzzy Sources
• Dimensional flow in the kappa-deformed space-time
• Uniformly Accelerated Observer in Moyal Spacetime

Cited by in corpus (11)

• Entanglement dynamics in $\kappa$-deformed spacetime
• Superdense star in a space-time with minimal length
• Maximal acceleration in non-commutative space-time and its implications
• How does Casimir energy fall in $\kappa$-deformed space-time?
• Neutron Star in Quantized-space-time
• Wormhole Solutions in deformed space-time
• Centripetal force on Casimir energies in $\kappa$-deformed rotating frame
• Influence of the cosmological constant on $\kappa$-deformed Neutron Star
• Non-commutative correction of ideal gas thermodynamics
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Unruh effect using Doppler shift method in DSR framework