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On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole
Generalized Monopole Spherical Harmonics Wave Equation of a Charged Massive Kerr Black Hole
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2010/11/30
We find linearly independent solutions of the Goncharov-Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical mono...
A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
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2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Entropic Force,$\mathfrak{HeunB}$ and Quantized Black Hole
Entropic Force $\mathfrak{HeunB}$ Quantized Black Hole
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2010/12/15
Following the simple proposal by He and Ma [1] for quantization of a Black Hole(BH),we superficial solved the associated Schr˝odinger equation for this system.The eigenfunction problem leads to o...
Scaling Limit of the Noncommutative Black Hole
Quantum groups noncommutative geometry quantum gravity
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2010/12/16
We show that the `quantum' black hole wave operator in the -Minkowski or bicrossproduct model quantum spacetime introduced in [1] has a natural scaling limit p ! 0 at the event horizon. Here p is t...
The Bisognano-Wichmann Theorem for Charged States and the Conformal Boundary of a Black Hole
The Bisognano-Wichmann Theorem Charged States Conformal Boundary
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2010/11/2
Recent applications of Operator Algebras to Quantum Field Theory on a Curved Spacetime show that the incremental entropy associated with a quantum black hole, due the addition of a short range charge...