https://doi.org/10.1140/epjc/s10052-015-3812-z
Regular Article - Theoretical Physics
Gravitational anomalies and one-dimensional behavior of black holes
Department of Physics, Indian Institute of Technology Guwahati, Guwahati, 781039, Assam, India
* e-mail: bibhas.majhi@iitg.ernet.in
Received:
26
October
2015
Accepted:
25
November
2015
Published online:
8
December
2015
It has been pointed out by Bekenstein and Mayo that the behavior of the black hole’s entropy or information flow is similar to information flow through one-dimensional channel. Here I analyze the same issue with the use of gravitational anomalies. The rate of the entropy change (
) and the power (P) of the Hawking emission are calculated from the relevant components of the anomalous stress tensor under the Unruh vacuum condition. I show that the dependence of on the power is 
, which is identical to that for the information flow in a one-dimensional system. This is established by using the (
)-dimensional gravitational anomalies first. Then the fact is further bolstered by considering the (
)-dimensional gravitational anomalies. It is found that, in the former case, the proportionality constant is exactly identical to the one-dimensional situation, known as Pendry’s formula, while in the latter situation its value decreases.
© The Author(s), 2015
