scholarly journals Gravitational anomaly and Hawking radiation near a weakly isolated horizon

2008 ◽  
Vol 77 (12) ◽  
Author(s):  
Xiaoning Wu ◽  
Chao-Guang Huang ◽  
Jia-Rui Sun
Keyword(s):  
Hawking Radiation ◽  
Gravitational Anomaly

scholarly journals HAWKING RADIATION, GRAVITATIONAL ANOMALY, AND CONFORMAL SYMMETRY — THE ORIGIN OF UNIVERSALITY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2082-2090 ◽  
Author(s):  
SATOSHI ISO
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Conformal Transformation ◽  
Conformal Symmetry ◽  
Black Hole Horizon ◽  
Gravitational Anomaly ◽  
Universal Behavior ◽  
Higher Spin ◽  
Matter Fields ◽  
Conformal Symmetries

The universal behavior of Hawking radiation is originated in the conformal symmetries of matter fields near the black hole horizon. We explain the origin of this universality based on (1) the gravitational anomaly and its higher-spin generalizations and (2) conformal transformation properties of fluxes.

scholarly journals HAWKING RADIATION OF BLACK p-BRANES FROM GRAVITATIONAL ANOMALY

2008 ◽  
Vol 23 (18) ◽  
pp. 2783-2800 ◽  
Author(s):  
ZHENG ZE MA
Keyword(s):  
Hawking Radiation ◽  
Coordinate Transformation ◽  
Momentum Flux ◽  
Thermodynamic Temperature ◽  
Blackbody Radiation ◽  
Spherically Symmetric ◽  
Gravitational Anomaly ◽  
Anomaly Cancellation ◽  
Spherically Symmetric Metric ◽  
Superstring Theories

We investigate the Hawking radiation of black p-branes of superstring theories using the method of anomaly cancellation, specially, we use the method of S. Iso, H. Umetsu and F. Wilczek, Phys. Rev. Lett.96, 151302 (2006) and Phys. Rev. D74, 044017 (2006). The metrics of black p-branes are spherically symmetric, but not the Schwarzschild-type. In order to simplify the calculation, we first make a coordinate transformation to transform the metric to the Schwarzschild-type. Then we calculate its energy–momentum flux from the method of anomaly cancellation of the above-mentioned references. The obtained energy–momentum flux is equal to a blackbody radiation, the thermodynamic temperature of the radiation is equal to its Hawking temperature. And we find that the results are not changed for the original non-Schwarzschild-type spherically symmetric metric.

scholarly journals COMBINING THE TUNNELING AND ANOMALY PHENOMENA IN DERIVING THE GRAVITATIONAL ANOMALY

2009 ◽  
Vol 24 (32) ◽  
pp. 2639-2648 ◽  
Author(s):  
SUBIR GHOSH
Keyword(s):  
Black Hole ◽  
Energy Level ◽  
Hawking Radiation ◽  
Black Hole Physics ◽  
Negative Energy ◽  
Conformal Anomaly ◽  
Spectral Flow ◽  
Gravitational Anomaly ◽  
Zero Energy ◽  
Dirac Sea

In the present work we have derived the gravitational anomaly from a fundamentally different perspective: it emerges due to the tunneling of particles (in the present case fermions) across the black hole horizon. The latter effect is in fact the Hawking radiation. We have used the analogy of an early idea17,18 of visualizing chiral gauge anomaly as an effect of spectral flow of the energy levels, from the negative energy Dirac sea, across zero energy level in the presence of gauge interactions. This was extended to conformal anomaly in Ref. 23. In the present work, we exploit the latter formalism in black hole physics where we interpret crossing the horizon of black hole (the zero energy level) as a spectral flow since it is also accompanied by a change of sign in the energy of the particle. Furthermore, Hawking radiation induces a shrinking of the radius of the horizon15,16 which reminds us of a similar rearrangement in the Fermi level generated by the spectral flow.17,18,21 Hence in our formulation the negative energy states below horizon play a similar role as the Dirac sea. We successfully recover the gravitational anomaly.

Fluctuation on a Schwarzschild black hole

2009 ◽  
Vol 87 (9) ◽  
pp. 1009-1012 ◽  
Author(s):  
Xianming Liu ◽  
Wenbiao Liu
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Hawking Radiation ◽  
Apparent Horizon ◽  
Gravitational Anomaly ◽  
Schwarzschild Black Hole ◽  
First Law Of Thermodynamics ◽  
Vaidya Black Hole

When a relativistic perturbation is given to the horizon of a Schwarzschild black hole, a new supersurface near the horizon will be obtained. Using the gravitational anomaly method proposed by Robinson and Wilczek, Hawking radiation from this new supersurface is calculated. It is found that the first law of thermodynamics can also be constructed successfully on this supersurface. The expressions of the characteristic position and temperature are very similar to the previous results for the event horizon of a Vaidya black hole. Comparing with the Vaidya black hole, we conclude that Hawking radiation and the thermodynamics of a Vaidya black hole should be indeed constructed at the apparent horizon instead of the event horizon.

scholarly journals GRAVITATIONAL ANOMALY AND HAWKING RADIATION OF BRANEWORLD BLACK HOLES

2008 ◽  
Vol 23 (34) ◽  
pp. 2957-2966 ◽  
Author(s):  
CHAO-GUANG HUANG ◽  
JIA-RUI SUN ◽  
XIAONING WU ◽  
HAI-QING ZHANG
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Dynamical Equation ◽  
Gravitational Anomaly ◽  
Anomaly Cancellation ◽  
Kinematic Effect

Wilczek and his collaborators' anomaly cancellation approach is applied to the 3D Schwarzschild- and BTZ-like braneworld black holes induced by the generalized [Formula: see text] metrics in the Randall–Sundrum scenario. Based on the fact that the horizon of braneworld black hole will extend into the bulk spacetime, calculation is done from the bulk generalized [Formula: see text] metrics side and it is shown that this approach also reproduces the correct Hawking radiation for these braneworld black holes. Besides, since this approach does not involve the dynamical equation, it is also shown that the Hawking radiation is only a kinematic effect.

Hawking radiation from gravity's rainbow via gravitational anomaly

2008 ◽  
Vol 17 (5) ◽  
pp. 1629-1632 ◽  
Author(s):  
Zeng Xiao-Xiong ◽  
Yang Shu-Zheng ◽  
Chen De-You
Keyword(s):  
Hawking Radiation ◽  
Gravitational Anomaly ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

scholarly journals GRAVITATIONAL ANOMALIES: A RECIPE FOR HAWKING RADIATION

2008 ◽  
Vol 17 (03n04) ◽  
pp. 533-539 ◽  
Author(s):  
SAURYA DAS ◽  
SEAN P. ROBINSON ◽  
ELIAS C. VAGENAS
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Effective Theory ◽  
General Covariance ◽  
Quantum Level ◽  
Gravitational Anomaly ◽  
Charged Black Holes ◽  
Black Rings ◽  
Rotating Black Holes ◽  
Arbitrary Space

We explore the method of Robinson and Wilczek for deriving the Hawking temperature of a black hole. In this method, the Hawking radiation restores general covariance in an effective theory of near-horizon physics which otherwise exhibits a gravitational anomaly at the quantum level. The method has been shown to work for broad classes of black holes in arbitrary space–time dimensions. These include static black holes, accreting or evaporating black holes, charged black holes, rotating black holes, and even black rings. In the cases of charged and rotating black holes, the expected superradiant current is also reproduced.

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