https://doi.org/10.1140/epjc/s10052-020-8016-5
Regular Article - Theoretical Physics
Fluctuation–dissipation relation from anomalous stress tensor and Hawking effect
1
S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700098, India
2
Department of Physics, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India
* e-mail: bibhas.majhi@iitg.ac.in
Received:
26
March
2020
Accepted:
6
May
2020
Published online:
18
May
2020
We show a direct connection between Kubo’s fluctuation–dissipation relation and Hawking effect that is valid in any dimensions for any stationary or static black hole. The relevant correlators corresponding to the fluctuating part of the force, computed from the known expressions for the anomalous stress tensor related to gravitational anomalies, are shown to satisfy the Kubo relation, from which the temperature of a black hole as seen by an observer at an arbitrary distance is abstracted. This reproduces the Tolman temperature and hence the Hawking temperature as that measured by an observer at infinity.
© The Author(s), 2020
