Fluctuations in a thermal field and dissipation of a black hole spacetime: Far-field limit

Journal Article · Thu Apr 01 04:00:00 EST 1999 · International Journal of Theoretical Physics

DOI:https://doi.org/10.1023/A:1026670816596· OSTI ID:361744

Campos, A ^[1]; Hu, B L ^[2]

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1. Massachusetts Inst. of Technology, Cambridge, MA (United States)
2. Univ. of Maryland, College Park, MD (United States). Dept. of Physics

The authors study the backreaction of a thermal field in a weak gravitational background depicting the far-field limit of a black hole enclosed in a box by the closed time path (CTP) effective action and the influence functional method. They derive the noise and dissipation kernels of this system in terms of quantities in quasiequilibrium, and formally prove the existence of a fluctuation-dissipation relation (FDR) at all temperatures between the quantum fluctuations of the thermal radiance and the dissipation of the gravitational field. This dynamical self-consistent interplay between the quantum field and the classical spacetime is, they believe, the correct way to treat backreaction problems. To emphasize this point they derive an Einstein-Langevin equation which describes the nonequilibrium dynamics of the gravitational perturbations under the influence of the thermal field. They show the connection between the method and the linear response theory (LRT), and indicate how the functional method can provide more accurate results than prior derivations of FDRs via LRT in the test-field, static conditions. This method is in principle useful for treating fully nonequilibrium cases such as backreaction in black hole collapse.

• Sponsoring Organization: USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: FC02-94ER40818
• OSTI ID: 361744
• Journal Information: International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 4 Vol. 38; ISSN 0020-7748; ISSN IJTPBM
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BLACK HOLES
CALCULATION METHODS
FLUCTUATIONS
GRAVITATIONAL COLLAPSE
GRAVITATIONAL FIELDS
SCHWARZSCHILD RADIUS
SPACE-TIME